Pith Number

pith:PJO3UFVN

pith:2004:PJO3UFVNOPLVURALJ2LKS6CGQK

not attested not anchored not stored refs pending

Geodesic behavior of sudden future singularities

L. Fern\'andez-Jambrina, Ruth Lazkoz

arxiv:gr-qc/0410124 v2 · 2004-10-26 · 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{PJO3UFVNOPLVURALJ2LKS6CGQK}

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

Geodesic completion of big bangs from emergent geometry

Receipt and verification

First computed	2026-07-04T16:47:49.460089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a5dba16ad73d75a440b4e96a97846829c1d157fc3316f87bfa722b1e8a91763

Aliases

arxiv: gr-qc/0410124 · arxiv_version: gr-qc/0410124v2 · doi: 10.48550/arxiv.gr-qc/0410124 · pith_short_12: PJO3UFVNOPLV · pith_short_16: PJO3UFVNOPLVURAL · pith_short_8: PJO3UFVN

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/PJO3UFVNOPLVURALJ2LKS6CGQK \
  | 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: 7a5dba16ad73d75a440b4e96a97846829c1d157fc3316f87bfa722b1e8a91763

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "657e79335329dcc13f71260831cdef64128157d97d549f156fca118f64d140e8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-10-26T16:32:39Z",
    "title_canon_sha256": "53732100a51d242f9eaa96d45c5d6534c29ad69350dfbf7932a97d9b8e39c126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0410124",
    "kind": "arxiv",
    "version": 2
  }
}