Pith Number

pith:C4QWRSHJ

pith:2011:C4QWRSHJUE26YOAMJ5KBWR37C6

not attested not anchored not stored refs pending

Handle Slides and Localizations of Categories

Benjamin Cooper, Vyacheslav Krushkal

arxiv:1110.2082 v2 · 2011-10-10 · 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{C4QWRSHJUE26YOAMJ5KBWR37C6}

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	2026-05-18T02:41:43.608832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

172168c8e9a135ec380c4f541b477f17b10fd4d1ae20fa71db5de52627899112

Aliases

arxiv: 1110.2082 · arxiv_version: 1110.2082v2 · doi: 10.48550/arxiv.1110.2082 · pith_short_12: C4QWRSHJUE26 · pith_short_16: C4QWRSHJUE26YOAM · pith_short_8: C4QWRSHJ

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/C4QWRSHJUE26YOAMJ5KBWR37C6 \
  | 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: 172168c8e9a135ec380c4f541b477f17b10fd4d1ae20fa71db5de52627899112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fedfca591b84a85b57d261106e283ae166a553e4e96ef9eef18dba34743c72a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-10-10T15:46:51Z",
    "title_canon_sha256": "fb4e79a02f05730c5f5debf4fc2e98c1165491b7c3aca827bfe734656462712b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2082",
    "kind": "arxiv",
    "version": 2
  }
}