Pith Number

pith:FBGFL2LF

pith:2010:FBGFL2LFYZ7JPUATRMWKJP6JIO

not attested not anchored not stored refs pending

Probabilistic view on singularities and spacetime boundary

Ismael Bailleul

arxiv:1009.4865 v2 · 2010-09-24 · math.PR · math-ph · 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{FBGFL2LFYZ7JPUATRMWKJP6JIO}

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	2026-05-18T04:28:21.534805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

284c55e965c67e97d0138b2ca4bfc9438537c9b8b671766d2269cefc8c056c4a

Aliases

arxiv: 1009.4865 · arxiv_version: 1009.4865v2 · doi: 10.48550/arxiv.1009.4865 · pith_short_12: FBGFL2LFYZ7J · pith_short_16: FBGFL2LFYZ7JPUAT · pith_short_8: FBGFL2LF

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/FBGFL2LFYZ7JPUATRMWKJP6JIO \
  | 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: 284c55e965c67e97d0138b2ca4bfc9438537c9b8b671766d2269cefc8c056c4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c7d26c9a142ed746098c52971012ec6a0f997cb7fd36a46997c07556c957184",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-24T15:09:26Z",
    "title_canon_sha256": "62073a34c078a03231336f1c57f7c0e77c0b214a156314796942f3cdc5be6058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4865",
    "kind": "arxiv",
    "version": 2
  }
}