Pith Number

pith:RCQZ7ELZ

pith:2010:RCQZ7ELZYT56GJSGJCHPPCV35Y

not attested not anchored not stored refs pending

Homology of finite K-area

Mario Listing

arxiv:1007.3166 v2 · 2010-07-19 · math.DG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RCQZ7ELZYT56GJSGJCHPPCV35Y}

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	2026-05-18T04:42:44.322200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88a19f9179c4fbe32646488ef78abbee329d6dd873c7ef3b572f8cf6107a2c0f

Aliases

arxiv: 1007.3166 · arxiv_version: 1007.3166v2 · doi: 10.48550/arxiv.1007.3166 · pith_short_12: RCQZ7ELZYT56 · pith_short_16: RCQZ7ELZYT56GJSG · pith_short_8: RCQZ7ELZ

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/RCQZ7ELZYT56GJSGJCHPPCV35Y \
  | 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: 88a19f9179c4fbe32646488ef78abbee329d6dd873c7ef3b572f8cf6107a2c0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "792fb5a028b97e75628fff8eec148c80d19b2c718b8e63798214dbfb2e3b316f",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-07-19T14:50:10Z",
    "title_canon_sha256": "736cbae54784c57a982ee69fe5c3bb6377137de29e73d61e316d1424678e64e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3166",
    "kind": "arxiv",
    "version": 2
  }
}