Pith Number

pith:NF3V5TLO

pith:2012:NF3V5TLOURJKV7YTOIYT4BUB6S

not attested not anchored not stored refs pending

Tetramodules over a bialgebra form a 2-fold monoidal category

Boris Shoikhet

arxiv:1202.1938 v1 · 2012-02-09 · math.CT · math.KT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NF3V5TLOURJKV7YTOIYT4BUB6S}

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	2026-05-18T04:02:38.730753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69775ecd6ea452aaff1372313e0681f4bae25a8ea823f2029cf975c9ba31072e

Aliases

arxiv: 1202.1938 · arxiv_version: 1202.1938v1 · doi: 10.48550/arxiv.1202.1938 · pith_short_12: NF3V5TLOURJK · pith_short_16: NF3V5TLOURJKV7YT · pith_short_8: NF3V5TLO

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/NF3V5TLOURJKV7YTOIYT4BUB6S \
  | 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: 69775ecd6ea452aaff1372313e0681f4bae25a8ea823f2029cf975c9ba31072e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c38669bae9a1dd46e613cb335fe95e9d813b5b4558502bf56ce5371a93adb91",
    "cross_cats_sorted": [
      "math.KT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-02-09T10:29:43Z",
    "title_canon_sha256": "0925f23dc0329ac0d050038bb075085746c08c5247a35a13a10654392e34f216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1938",
    "kind": "arxiv",
    "version": 1
  }
}