Pith Number

pith:WFAYT3IW

pith:2019:WFAYT3IWKWAPY7SPOSIPFNIPYZ

not attested not anchored not stored refs pending

Constraining the masses of microlensing black holes and the mass gap with Gaia DR2

Ilya Mandel, {\L}ukasz Wyrzykowski

arxiv:1904.07789 v4 · 2019-04-16 · astro-ph.SR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFAYT3IWKWAPY7SPOSIPFNIPYZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

The swallowed spike: the formation of light primordial black hole structures around heavy seeds

Primordial Black Holes as Dark Matter: Recent Developments

GWTC-2.1: Deep Extended Catalog of Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run

Receipt and verification

First computed	2026-07-05T00:54:28.577475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14189ed165580fc7e4f7490f2b50fc6792fcdfd2e23b7433d9139184766b99b

Aliases

arxiv: 1904.07789 · arxiv_version: 1904.07789v4 · doi: 10.48550/arxiv.1904.07789 · pith_short_12: WFAYT3IWKWAP · pith_short_16: WFAYT3IWKWAPY7SP · pith_short_8: WFAYT3IW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WFAYT3IWKWAPY7SPOSIPFNIPYZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b14189ed165580fc7e4f7490f2b50fc6792fcdfd2e23b7433d9139184766b99b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4eb37a85054abb902bb6e2b3ca4cd986ab7309da64fc74b7983a15029c6ce18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2019-04-16T16:10:19Z",
    "title_canon_sha256": "0c56312f35b4b052df822e8c2698054dcebcb43bb6e9ac75b39696b640a4f723"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07789",
    "kind": "arxiv",
    "version": 4
  }
}