Pith Number

pith:3OZ4GYOW

pith:2021:3OZ4GYOWIBL4AXFGECTK5VQSQT

not attested not anchored not stored refs pending

Four Attitudes Towards Singularities in the Search for a Theory of Quantum Gravity

Karen Crowther, Sebastian De Haro

arxiv:2112.08531 v1 · 2021-12-15 · gr-qc · physics.hist-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3OZ4GYOWIBL4AXFGECTK5VQSQT}

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

Physical and Theoretical Challenges to Integrable Singularities

Receipt and verification

First computed	2026-07-05T03:41:30.125274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbb3c361d64057c05ca620a6aed61284c499a243a4c05354ecde35fa1ec0e9de

Aliases

arxiv: 2112.08531 · arxiv_version: 2112.08531v1 · doi: 10.48550/arxiv.2112.08531 · pith_short_12: 3OZ4GYOWIBL4 · pith_short_16: 3OZ4GYOWIBL4AXFG · pith_short_8: 3OZ4GYOW

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/3OZ4GYOWIBL4AXFGECTK5VQSQT \
  | 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: dbb3c361d64057c05ca620a6aed61284c499a243a4c05354ecde35fa1ec0e9de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf4e8fb3d5e55f2af44a7417676f5f6cfa93dc29f911f640b8481ca973e199e3",
    "cross_cats_sorted": [
      "physics.hist-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-12-15T23:51:12Z",
    "title_canon_sha256": "fe3b1cd3e0b0c46763994cfafe8f604d16d40879a20e9b8c36ede11b73e17474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.08531",
    "kind": "arxiv",
    "version": 1
  }
}