Pith Number

pith:YMYMNSL6

pith:2013:YMYMNSL6DQD26RVI44FGFXNZUA

not attested not anchored not stored refs pending

From operator categories to topological operads

C. Barwick

arxiv:1302.5756 v3 · 2013-02-23 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMYMNSL6DQD26RVI44FGFXNZUA}

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	2026-05-18T00:18:20.916300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c330c6c97e1c07af46a8e70a62ddb9a01c6b27026cc3b916a9eb87c648d06de1

Aliases

arxiv: 1302.5756 · arxiv_version: 1302.5756v3 · doi: 10.48550/arxiv.1302.5756 · pith_short_12: YMYMNSL6DQD2 · pith_short_16: YMYMNSL6DQD26RVI · pith_short_8: YMYMNSL6

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/YMYMNSL6DQD26RVI44FGFXNZUA \
  | 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: c330c6c97e1c07af46a8e70a62ddb9a01c6b27026cc3b916a9eb87c648d06de1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "618d080316ea000df1391ee3598e562defba3e6b5c3cd51003ba5bb770d3dd81",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-02-23T03:41:33Z",
    "title_canon_sha256": "6be94e5d2b24cdbd8cfe9d7e30242de48087349ccdc1fc5cc335adde3e59337a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5756",
    "kind": "arxiv",
    "version": 3
  }
}