Pith Number

pith:TKOSKXFX

pith:2022:TKOSKXFXHXANUQHF2ZFZI77KAL

not attested not anchored not stored refs pending

Strong lensing constraints on primordial black holes as a dark matter candidate

Daniel Gilman, Tommaso Treu, Veronica Dike

arxiv:2210.09493 v2 · 2022-10-18 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKOSKXFXHXANUQHF2ZFZI77KAL}

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.

Receipt and verification

First computed	2026-07-05T06:09:05.991514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a9d255cb73dc0da40e5d64b947fea02db39ed899d9d056be629974f0a5979df

Aliases

arxiv: 2210.09493 · arxiv_version: 2210.09493v2 · doi: 10.48550/arxiv.2210.09493 · pith_short_12: TKOSKXFXHXAN · pith_short_16: TKOSKXFXHXANUQHF · pith_short_8: TKOSKXFX

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/TKOSKXFXHXANUQHF2ZFZI77KAL \
  | 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: 9a9d255cb73dc0da40e5d64b947fea02db39ed899d9d056be629974f0a5979df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "629f0214f587acb7a545ac86e09132ee5d2072df2a199fe0be83480eba8bc8f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-10-18T00:29:24Z",
    "title_canon_sha256": "65c11023c5388d8fd8b5fc77038aa450548f85bc4c14934f162b85755329c5d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.09493",
    "kind": "arxiv",
    "version": 2
  }
}