Pith Number

pith:YCR5HJD5

pith:2015:YCR5HJD5NT5R2B4OMHNJVBPYOH

not attested not anchored not stored refs pending

Gravitational collapse of a circularly symmetric star

Farook Rahaman, Gopal Chandra Shit, Ranjan Sharma, Shyam Das

arxiv:1509.08768 v1 · 2015-09-26 · 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{YCR5HJD5NT5R2B4OMHNJVBPYOH}

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	2026-05-18T01:31:47.168052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0a3d3a47d6cfb1d078e61da9a85f871c46892177f4aceabb33667c27850c9ed

Aliases

arxiv: 1509.08768 · arxiv_version: 1509.08768v1 · doi: 10.48550/arxiv.1509.08768 · pith_short_12: YCR5HJD5NT5R · pith_short_16: YCR5HJD5NT5R2B4O · pith_short_8: YCR5HJD5

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/YCR5HJD5NT5R2B4OMHNJVBPYOH \
  | 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: c0a3d3a47d6cfb1d078e61da9a85f871c46892177f4aceabb33667c27850c9ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cf51dc169d2ee442c913f6544bef6e504e11600e8c4957fed761433930f43a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-09-26T17:45:12Z",
    "title_canon_sha256": "2230862a0407fe64869fbacf73d61ebe2cc6b21f9bedcbd8caab227a044bd45e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08768",
    "kind": "arxiv",
    "version": 1
  }
}