Pith Number

pith:FHKRNPSL

pith:2010:FHKRNPSLJ37E43KLIBH2WPZ45L

not attested not anchored not stored refs pending

1-loop graphs and configuration space integral for embedding spaces

Keiichi Sakai, Tadayuki Watanabe

arxiv:1002.4696 v2 · 2010-02-25 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHKRNPSLJ37E43KLIBH2WPZ45L}

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	2026-05-18T02:24:38.566633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29d516be4b4efe4e6d4b404fab3f3ceaf1cfe2b9b3f50494ebe6b27bf337955d

Aliases

arxiv: 1002.4696 · arxiv_version: 1002.4696v2 · doi: 10.48550/arxiv.1002.4696 · pith_short_12: FHKRNPSLJ37E · pith_short_16: FHKRNPSLJ37E43KL · pith_short_8: FHKRNPSL

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/FHKRNPSLJ37E43KLIBH2WPZ45L \
  | 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: 29d516be4b4efe4e6d4b404fab3f3ceaf1cfe2b9b3f50494ebe6b27bf337955d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cf60367ca5081788a43e91ab2dd8b61ea0c28e9ca1bb670a0ceb482f722b54b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-02-25T12:21:31Z",
    "title_canon_sha256": "1a3846115cb3548b981115b0ecd347485e00c5cfd91e74ce4a896b7ca0bd7551"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4696",
    "kind": "arxiv",
    "version": 2
  }
}