Pith Number

pith:I3EAGIBY

pith:2025:I3EAGIBYNVJZKEKLCCZIDG2FKM

not attested not anchored not stored refs pending

Volume-Distance-Ratio Asymptote and Spacetime Inextendibility

Pengyu Le

arxiv:2507.23097 v4 · 2025-07-30 · gr-qc · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3EAGIBYNVJZKEKLCCZIDG2FKM}

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

The formation of a weak null singularity in the interior of generic rotating black holes

Receipt and verification

First computed	2026-06-30T01:17:24.919180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46c80320386d5395114b10b2819b4553321c6a71ec3836682053bd1299eb3f0d

Aliases

arxiv: 2507.23097 · arxiv_version: 2507.23097v4 · doi: 10.48550/arxiv.2507.23097 · pith_short_12: I3EAGIBYNVJZ · pith_short_16: I3EAGIBYNVJZKEKL · pith_short_8: I3EAGIBY

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/I3EAGIBYNVJZKEKLCCZIDG2FKM \
  | 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: 46c80320386d5395114b10b2819b4553321c6a71ec3836682053bd1299eb3f0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eb092f02113d0e43c03722a3711d2a7337f2c1679c9f628795de7a16b1c1faf",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-30T20:54:58Z",
    "title_canon_sha256": "7c7399e32e91c4465274e6a8c150fc057a8cb5ef3fd7599c02ed32b9aa9cfb11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23097",
    "kind": "arxiv",
    "version": 4
  }
}