Pith Number

pith:I3RIGYQV

pith:2002:I3RIGYQV2FKCI5WLHSQKWNVJOZ

not attested not anchored not stored refs pending

Relativistic shells: Dynamics, horizons, and shell crossing

Sergio M. C. V. Goncalves

arxiv:gr-qc/0212124 v1 · 2002-12-30 · 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{I3RIGYQV2FKCI5WLHSQKWNVJOZ}

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	2026-07-04T16:33:49.272375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46e2836215d1542476cb3ca0ab36a97655fdbe55be5047413a06249428595f45

Aliases

arxiv: gr-qc/0212124 · arxiv_version: gr-qc/0212124v1 · doi: 10.48550/arxiv.gr-qc/0212124 · pith_short_12: I3RIGYQV2FKC · pith_short_16: I3RIGYQV2FKCI5WL · pith_short_8: I3RIGYQV

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/I3RIGYQV2FKCI5WLHSQKWNVJOZ \
  | 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: 46e2836215d1542476cb3ca0ab36a97655fdbe55be5047413a06249428595f45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7614f3e0a7dc67f1734ff9513db127d7ca369d459f84f9d6bb23bd2107d8404b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-12-30T17:54:13Z",
    "title_canon_sha256": "39214df6e596273eb4a118229a50da23990da82094674c0fe48cc382c1f6c6f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0212124",
    "kind": "arxiv",
    "version": 1
  }
}