Pith Number

pith:GDMDPUHT

pith:2012:GDMDPUHTJTLCAJWZQNHKQYBWCB

not attested not anchored not stored refs pending

A cohomology theory for colored tangles

Carmen Caprau

arxiv:1207.3373 v2 · 2012-07-13 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDMDPUHTJTLCAJWZQNHKQYBWCB}

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	2026-05-18T02:20:00.625011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30d837d0f34cd62026d9834ea860361079cca34794ca36678a1baaacb9176a01

Aliases

arxiv: 1207.3373 · arxiv_version: 1207.3373v2 · doi: 10.48550/arxiv.1207.3373 · pith_short_12: GDMDPUHTJTLC · pith_short_16: GDMDPUHTJTLCAJWZ · pith_short_8: GDMDPUHT

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/GDMDPUHTJTLCAJWZQNHKQYBWCB \
  | 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: 30d837d0f34cd62026d9834ea860361079cca34794ca36678a1baaacb9176a01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f0e8bcbbb5f268b8aa0779fe232e326c1a689eefd73720449377036f50d61aa",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-07-13T22:37:11Z",
    "title_canon_sha256": "36b290af5e118d65bf1f7a0c6938a14679e703de2b18cca5ddd7547ea9332212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3373",
    "kind": "arxiv",
    "version": 2
  }
}