Pith Number

pith:FXRMAT2Q

pith:2010:FXRMAT2QRQDZ7ATPTJU54LFXZ7

not attested not anchored not stored refs pending

Cyclic structures in algebraic (co)homology theories

Niels Kowalzig, Ulrich Kraehmer

arxiv:1011.3471 v1 · 2010-11-15 · 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{FXRMAT2QRQDZ7ATPTJU54LFXZ7}

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	2026-05-18T01:33:57.361589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2de2c04f508c079f826f9a69de2cb7cff1db564ccf0cb7fd46a85f61a2e3d0e9

Aliases

arxiv: 1011.3471 · arxiv_version: 1011.3471v1 · doi: 10.48550/arxiv.1011.3471 · pith_short_12: FXRMAT2QRQDZ · pith_short_16: FXRMAT2QRQDZ7ATP · pith_short_8: FXRMAT2Q

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/FXRMAT2QRQDZ7ATPTJU54LFXZ7 \
  | 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: 2de2c04f508c079f826f9a69de2cb7cff1db564ccf0cb7fd46a85f61a2e3d0e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58baae7b591f5db93e28014bea34f170c12a8f13fa1ef1332017d86d678d1eae",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-11-15T18:28:17Z",
    "title_canon_sha256": "70356d9610f478ebe64995e1e9346a56e58cf4ff32ea8b316117486210f9b607"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3471",
    "kind": "arxiv",
    "version": 1
  }
}