Pith Number

pith:AK53YTII

pith:2012:AK53YTIIMQTLU26RMJ6HX2FXTZ

not attested not anchored not stored refs pending

Integral cohomology of rational projection method patterns

Franz Gaehler, Johannes Kellendonk, John Hunton

arxiv:1202.2240 v2 · 2012-02-10 · math.KT · math-ph · math.AT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AK53YTIIMQTLU26RMJ6HX2FXTZ}

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	2026-05-18T01:22:26.898151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02bbbc4d086426ba6bd1627c7be8b79e47e29c52f3cfad55057c63fbc40305ab

Aliases

arxiv: 1202.2240 · arxiv_version: 1202.2240v2 · doi: 10.48550/arxiv.1202.2240 · pith_short_12: AK53YTIIMQTL · pith_short_16: AK53YTIIMQTLU26R · pith_short_8: AK53YTII

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/AK53YTIIMQTLU26RMJ6HX2FXTZ \
  | 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: 02bbbc4d086426ba6bd1627c7be8b79e47e29c52f3cfad55057c63fbc40305ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55920d46046858dcf580722a8ccb0b0bcc23a6fade39ac8ef4eb57a0afa7afc7",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-02-10T11:58:10Z",
    "title_canon_sha256": "314abddea663e444093ab9e387a28b5bf8fd583b8ec3c8e3a08ddf9137379f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2240",
    "kind": "arxiv",
    "version": 2
  }
}