Pith Number

pith:IVCOAM7B

pith:2013:IVCOAM7B4OWOLIKUXDSU2TYEBT

not attested not anchored not stored refs pending

On a Morelli type expression of cohomology classes of torus orbifolds

Akio Hattori

arxiv:1308.2439 v1 · 2013-08-12 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IVCOAM7B4OWOLIKUXDSU2TYEBT}

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	2026-05-18T03:16:07.401657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4544e033e1e3ace5a154b8e54d4f040cfb2518bfe81ff9b0fe8430f9eb58e2bf

Aliases

arxiv: 1308.2439 · arxiv_version: 1308.2439v1 · doi: 10.48550/arxiv.1308.2439 · pith_short_12: IVCOAM7B4OWO · pith_short_16: IVCOAM7B4OWOLIKU · pith_short_8: IVCOAM7B

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/IVCOAM7B4OWOLIKUXDSU2TYEBT \
  | 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: 4544e033e1e3ace5a154b8e54d4f040cfb2518bfe81ff9b0fe8430f9eb58e2bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6e8d987ce090a8c959434da805de3de8b956a81e4be438c7b4e4518b5854875",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-08-12T00:12:22Z",
    "title_canon_sha256": "4f63436fd64f894f4c5034b790ad8ee283c1c0b25e7180e3d63f7fbfd359c1b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2439",
    "kind": "arxiv",
    "version": 1
  }
}