Pith Number

pith:LISGOGG7

pith:2012:LISGOGG7F7RKG43HWIHQ32GQCY

not attested not anchored not stored refs pending

Minor theory for surfaces and divides of maximal signature

Pierre Dehornoy, Sebastian Baader

arxiv:1211.7348 v2 · 2012-11-30 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LISGOGG7F7RKG43HWIHQ32GQCY}

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	2026-05-17T23:56:56.463359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a246718df2fe2a37367b20f0de8d016333ad4d644799d09b479c7fad5ee45f3

Aliases

arxiv: 1211.7348 · arxiv_version: 1211.7348v2 · doi: 10.48550/arxiv.1211.7348 · pith_short_12: LISGOGG7F7RK · pith_short_16: LISGOGG7F7RKG43H · pith_short_8: LISGOGG7

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/LISGOGG7F7RKG43HWIHQ32GQCY \
  | 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: 5a246718df2fe2a37367b20f0de8d016333ad4d644799d09b479c7fad5ee45f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3142b1e8094d98dc65e4549c1c069b5287c0eba2a8e54d1f536cdcb0a26c3da",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-30T19:27:36Z",
    "title_canon_sha256": "25f57785e6cb781dc0ca55aab1d4eaba4c9efbc06ad9623263b23ff937b33405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7348",
    "kind": "arxiv",
    "version": 2
  }
}