Pith Number

pith:DP5DH7YQ

pith:2011:DP5DH7YQJMI7YACVW35EOBH22D

not attested not anchored not stored refs pending

Cobordisms to weakly splittable links

Mark Powell, Stefan Friedl

arxiv:1112.3685 v2 · 2011-12-15 · 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{DP5DH7YQJMI7YACVW35EOBH22D}

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	2026-05-18T03:43:42.387569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bfa33ff104b11fc0055b6fa4704fad0f396acdca9a9ad0cc4e7531ba6bce224

Aliases

arxiv: 1112.3685 · arxiv_version: 1112.3685v2 · doi: 10.48550/arxiv.1112.3685 · pith_short_12: DP5DH7YQJMI7 · pith_short_16: DP5DH7YQJMI7YACV · pith_short_8: DP5DH7YQ

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/DP5DH7YQJMI7YACVW35EOBH22D \
  | 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: 1bfa33ff104b11fc0055b6fa4704fad0f396acdca9a9ad0cc4e7531ba6bce224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d32b0a3f0f78d429e88865052dbf9581e86a8799d4fe05803b99fadd6a64ca38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-12-15T22:14:05Z",
    "title_canon_sha256": "a0ce4e180c019337eb419e2a5dc49770c18b9fcfd16ca84dc85173f170697dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3685",
    "kind": "arxiv",
    "version": 2
  }
}