Pith Number

pith:CZ3UIW6O

pith:2007:CZ3UIW6O46WYWZ3ODUMBUNZNF4

not attested not anchored not stored refs pending

(Co)cyclic (co)homology of bialgebroids: An approach via (co)monads

Dragos Stefan, Gabriella B\"ohm

arxiv:0705.3190 v3 · 2007-05-22 · 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{CZ3UIW6O46WYWZ3ODUMBUNZNF4}

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	2026-05-18T04:03:54.905859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1677445bcee7ad8b676e1d181a372d2f2a8b40bb49a48c5fa4c14ce51896f544

Aliases

arxiv: 0705.3190 · arxiv_version: 0705.3190v3 · doi: 10.48550/arxiv.0705.3190 · pith_short_12: CZ3UIW6O46WY · pith_short_16: CZ3UIW6O46WYWZ3O · pith_short_8: CZ3UIW6O

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/CZ3UIW6O46WYWZ3ODUMBUNZNF4 \
  | 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: 1677445bcee7ad8b676e1d181a372d2f2a8b40bb49a48c5fa4c14ce51896f544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb909c1bc429a1fdf0800d2d1abdee3f62339a8d96099a231e9f5ff44d6ad555",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2007-05-22T15:34:01Z",
    "title_canon_sha256": "f13c078c6006415b2f9813a8f9f1f820c3596c817ae8516909c41c25cc0e8ca3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.3190",
    "kind": "arxiv",
    "version": 3
  }
}