Pith Number

pith:WHFAAIMI

pith:2021:WHFAAIMI7EPGH7JTANY4LI3OLX

not attested not anchored not stored refs pending

Constraints on the abundance of supermassive primordial black holes from lensing of compact radio sources

Huan Zhou, Shuo Cao, Yujie Lian, Zhengxiang Li, Zhiqi Huang

arxiv:2106.11705 v3 · 2021-06-22 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHFAAIMI7EPGH7JTANY4LI3OLX}

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

1 paper in Pith

Dark ages bounds on non-accreting massive compact halo objects

Receipt and verification

First computed	2026-07-05T04:13:30.660155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1ca002188f91e63fd330371c5a36e5dcbd560386500e5e056c7a9c4f1c5fca4

Aliases

arxiv: 2106.11705 · arxiv_version: 2106.11705v3 · doi: 10.48550/arxiv.2106.11705 · pith_short_12: WHFAAIMI7EPG · pith_short_16: WHFAAIMI7EPGH7JT · pith_short_8: WHFAAIMI

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/WHFAAIMI7EPGH7JTANY4LI3OLX \
  | 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: b1ca002188f91e63fd330371c5a36e5dcbd560386500e5e056c7a9c4f1c5fca4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e92862f5c6ba99acc2fabdedae67ee4c1bbd55ecb1eb1810d08da54b5060aaa",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-06-22T12:23:09Z",
    "title_canon_sha256": "3ede1fb21c084c9b548e197cd02e72dab2c54365a2eb645d1488061172f25425"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.11705",
    "kind": "arxiv",
    "version": 3
  }
}