Pith Number

pith:4YLFXAVN

pith:2020:4YLFXAVNWPVKBS4CVMI5H7S2R3

not attested not anchored not stored refs pending

Gravitational collapse of anisotropic stars

Bikash Chandra Paul, Ranjan Sharma, Shyam Das

arxiv:2012.14084 v1 · 2020-12-28 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YLFXAVNWPVKBS4CVMI5H7S2R3}

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	2026-07-05T03:45:25.307749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6165b82adb3eaa0cb82ab11d3fe5a8ef916756da723b8bb7a12e5fb259df83f

Aliases

arxiv: 2012.14084 · arxiv_version: 2012.14084v1 · doi: 10.48550/arxiv.2012.14084 · pith_short_12: 4YLFXAVNWPVK · pith_short_16: 4YLFXAVNWPVKBS4C · pith_short_8: 4YLFXAVN

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/4YLFXAVNWPVKBS4CVMI5H7S2R3 \
  | 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: e6165b82adb3eaa0cb82ab11d3fe5a8ef916756da723b8bb7a12e5fb259df83f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1077144eb5fd1e2d984b94ab002bfa1b6821f7c729d5cc4a92e05b10efe1546",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-12-28T03:53:00Z",
    "title_canon_sha256": "4c278fa816e0db371d11891b4b629df950d243745e3ade8ce961b05041c5ac5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.14084",
    "kind": "arxiv",
    "version": 1
  }
}