Pith Number

pith:3FGK4HXS

pith:2013:3FGK4HXSNXT6QOUJXIB3FCHTDD

not attested not anchored not stored refs pending

Categorification and applications in topology and representation theory

Daniel Tubbenhauer

arxiv:1307.1011 v1 · 2013-07-03 · 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{3FGK4HXSNXT6QOUJXIB3FCHTDD}

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	2026-05-18T03:18:41.961800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d94cae1ef26de7e83a89ba03b288f318d14f8a056ce689952bc205f503644be6

Aliases

arxiv: 1307.1011 · arxiv_version: 1307.1011v1 · doi: 10.48550/arxiv.1307.1011 · pith_short_12: 3FGK4HXSNXT6 · pith_short_16: 3FGK4HXSNXT6QOUJ · pith_short_8: 3FGK4HXS

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/3FGK4HXSNXT6QOUJXIB3FCHTDD \
  | 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: d94cae1ef26de7e83a89ba03b288f318d14f8a056ce689952bc205f503644be6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddbbfbee36aaba1ad8f5341044d1f435c326f4536b5fa4e26c3f236102db9ccd",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-07-03T13:43:42Z",
    "title_canon_sha256": "284ad24cbc9b5c316c5f2b4c97bf335d00a453cabb99b045cd28cdd20ae38586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1011",
    "kind": "arxiv",
    "version": 1
  }
}