Pith Number

pith:ZJSRGD6I

pith:2015:ZJSRGD6IQN57YKBBBLHX4LA264

not attested not anchored not stored refs pending

Generalizations of the Abstract Boundary singularity theorem

Ben E. Whale, Mike J. S. L. Ashley, Susan M. Scott

arxiv:1508.04602 v1 · 2015-08-19 · gr-qc · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJSRGD6IQN57YKBBBLHX4LA264}

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	2026-05-18T01:35:02.297257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca65130fc8837bfc28210acf7e2c1af71621c04f1cba95d1c65f8728f0872f32

Aliases

arxiv: 1508.04602 · arxiv_version: 1508.04602v1 · doi: 10.48550/arxiv.1508.04602 · pith_short_12: ZJSRGD6IQN57 · pith_short_16: ZJSRGD6IQN57YKBB · pith_short_8: ZJSRGD6I

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/ZJSRGD6IQN57YKBBBLHX4LA264 \
  | 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: ca65130fc8837bfc28210acf7e2c1af71621c04f1cba95d1c65f8728f0872f32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56812378050d9c8f5e02c66fa556aedef2ed22dd6412983e4127ee173e591394",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-08-19T11:29:55Z",
    "title_canon_sha256": "97510f6c2f8a0369f0c1019fc4211de65b7892d5f9f3214c46608aca3cb120f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04602",
    "kind": "arxiv",
    "version": 1
  }
}