Pith Number

pith:E7RX7LFH

pith:2012:E7RX7LFHWILU5MN35D6VBOQILJ

not attested not anchored not stored refs pending

A proof of Reidemeister-Singer's theorem by Cerf's methods

Francois Laudenbach (LMJL)

arxiv:1202.1130 v4 · 2012-02-06 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E7RX7LFHWILU5MN35D6VBOQILJ}

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	2026-05-18T02:21:18.066916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27e37faca7b2174eb1bbe8fd50ba085a59eca278d8b1f1b6947c410085814806

Aliases

arxiv: 1202.1130 · arxiv_version: 1202.1130v4 · doi: 10.48550/arxiv.1202.1130 · pith_short_12: E7RX7LFHWILU · pith_short_16: E7RX7LFHWILU5MN3 · pith_short_8: E7RX7LFH

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/E7RX7LFHWILU5MN35D6VBOQILJ \
  | 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: 27e37faca7b2174eb1bbe8fd50ba085a59eca278d8b1f1b6947c410085814806

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "065659c8d0a61ad55ae2b0a79ae499b6e5720529e3b5f3b510e6c86be0fcb7f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-02-06T13:00:29Z",
    "title_canon_sha256": "b15b25db846ed7e491d250f0f5ce8a8c53cc127f1591ab6105cbcdc4143f9772"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1130",
    "kind": "arxiv",
    "version": 4
  }
}