Pith Number

pith:7TGR4LIL

pith:2020:7TGR4LILUIDR5JZY4S4XDU45SN

not attested not anchored not stored refs pending

Of Light and Shadows: Raychaudhuri's equation, the Big Bang and Black Holes

Joseph Samuel

arxiv:2012.14988 v2 · 2020-12-30 · physics.pop-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{7TGR4LILUIDR5JZY4S4XDU45SN}

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

Displacement memory and B-memory in generalised Ellis-Bronnikov wormholes

Receipt and verification

First computed	2026-07-05T02:04:14.548943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fccd1e2d0ba2071ea738e4b971d39d93456ebe1940f144f032957cab0f359a54

Aliases

arxiv: 2012.14988 · arxiv_version: 2012.14988v2 · doi: 10.48550/arxiv.2012.14988 · pith_short_12: 7TGR4LILUIDR · pith_short_16: 7TGR4LILUIDR5JZY · pith_short_8: 7TGR4LIL

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/7TGR4LILUIDR5JZY4S4XDU45SN \
  | 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: fccd1e2d0ba2071ea738e4b971d39d93456ebe1940f144f032957cab0f359a54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84de5b104e07e2c9956b3e13903011b3a0b4d5bcfab307d3f726db226f2c6bef",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.pop-ph",
    "submitted_at": "2020-12-30T00:41:54Z",
    "title_canon_sha256": "ca5e6cc63b40f475586a53e825a729b77798bf6b65ed0dad7894f063dd6abb67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.14988",
    "kind": "arxiv",
    "version": 2
  }
}