Pith Number

pith:4NVMPJAH

pith:2001:4NVMPJAHMD3EFXPYOAN2PXPC4C

not attested not anchored not stored refs pending

Gravitational lensing as a possible explanation for some unidentified gamma-ray sources at high latitudes

Diego F. Torres, Ernesto F. Eiroa, Gustavo E. Romero

arxiv:astro-ph/0112549 v1 · 2001-12-27 · astro-ph · 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{4NVMPJAHMD3EFXPYOAN2PXPC4C}

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	2026-07-04T16:24:49.147554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e36ac7a40760f642ddf8701ba7dde2e09e37608c76ffab54ce5e08836934f349

Aliases

arxiv: astro-ph/0112549 · arxiv_version: astro-ph/0112549v1 · doi: 10.48550/arxiv.astro-ph/0112549 · pith_short_12: 4NVMPJAHMD3E · pith_short_16: 4NVMPJAHMD3EFXPY · pith_short_8: 4NVMPJAH

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/4NVMPJAHMD3EFXPYOAN2PXPC4C \
  | 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: e36ac7a40760f642ddf8701ba7dde2e09e37608c76ffab54ce5e08836934f349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47a8a272af5dc2bd0cf30396c7640ec0be17f0905d6ea7cc5eb8d12b60aa6c76",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-12-27T14:51:27Z",
    "title_canon_sha256": "c483d7e0b8227eb35cf3d3c5616e067b6392a859b3d754fbe29a0568da040c5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0112549",
    "kind": "arxiv",
    "version": 1
  }
}