Pith Number

pith:25HBBTPN

pith:2012:25HBBTPNARQDPI4R5YQONPUCEO

not attested not anchored not stored refs pending

Cyclotomic associators and finite type invariants for tangles in the solid torus

Adrien Brochier

arxiv:1209.0417 v4 · 2012-09-03 · math.QA · 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{25HBBTPNARQDPI4R5YQONPUCEO}

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	2026-05-18T02:41:42.974955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d74e10cded046037a391ee20e6be8223892114cede3c7a561596576440185592

Aliases

arxiv: 1209.0417 · arxiv_version: 1209.0417v4 · doi: 10.48550/arxiv.1209.0417 · pith_short_12: 25HBBTPNARQD · pith_short_16: 25HBBTPNARQDPI4R · pith_short_8: 25HBBTPN

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/25HBBTPNARQDPI4R5YQONPUCEO \
  | 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: d74e10cded046037a391ee20e6be8223892114cede3c7a561596576440185592

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "664ac8e393992d0abb3d8cb3988328f7c0302f19358727146fdd45a481d73070",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-09-03T17:34:19Z",
    "title_canon_sha256": "4de86820b26cbc5d65861e7c4dda7540fa464e58320c5c4d9f9320d4c2ecafac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0417",
    "kind": "arxiv",
    "version": 4
  }
}