Pith Number

pith:YJE3SLRX

pith:2015:YJE3SLRX44SHKGGDLDQG3R7HFX

not attested not anchored not stored refs pending

Categorification at prime roots of unity and hopfological finiteness

Joshua Sussan, You Qi

arxiv:1509.00438 v2 · 2015-09-01 · math.QA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJE3SLRX44SHKGGDLDQG3R7HFX}

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	2026-05-18T00:49:34.914895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c249b92e37e7247518c358e06dc7e72ddd860802a491430d1d790e1785ee9893

Aliases

arxiv: 1509.00438 · arxiv_version: 1509.00438v2 · doi: 10.48550/arxiv.1509.00438 · pith_short_12: YJE3SLRX44SH · pith_short_16: YJE3SLRX44SHKGGD · pith_short_8: YJE3SLRX

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/YJE3SLRX44SHKGGDLDQG3R7HFX \
  | 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: c249b92e37e7247518c358e06dc7e72ddd860802a491430d1d790e1785ee9893

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b40445f3b02d4c82e232e64ceeeffa622ae57b7aec3f2d419ab8426d4bd6a96",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-09-01T18:54:05Z",
    "title_canon_sha256": "a01e6438383cbf8fc88100a89c509caa69fae7c11e004e82eea695de5a99e734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00438",
    "kind": "arxiv",
    "version": 2
  }
}