Pith Number

pith:5OEDFUKI

pith:2013:5OEDFUKI2SOIVXIAWUL4UEKP23

not attested not anchored not stored refs pending

The dimension of the leafwise reduced cohomology

Gilbert Hector, Jes\'us A. \'Alvarez L\'opez

arxiv:1311.3518 v1 · 2013-11-14 · math.GT · math.AT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OEDFUKI2SOIVXIAWUL4UEKP23}

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	2026-05-18T03:07:10.692278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb8832d148d49c8add00b517ca114fd6ea4fdb4fa4365de28f7af2cdcc132025

Aliases

arxiv: 1311.3518 · arxiv_version: 1311.3518v1 · doi: 10.48550/arxiv.1311.3518 · pith_short_12: 5OEDFUKI2SOI · pith_short_16: 5OEDFUKI2SOIVXIA · pith_short_8: 5OEDFUKI

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/5OEDFUKI2SOIVXIAWUL4UEKP23 \
  | 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: eb8832d148d49c8add00b517ca114fd6ea4fdb4fa4365de28f7af2cdcc132025

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "756064ca0354f4b8d2f9bcd7c15b2980283022881dce0eb968ee167866ff8600",
    "cross_cats_sorted": [
      "math.AT",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-11-14T14:47:29Z",
    "title_canon_sha256": "a6895742d4cc64e52d5550279012752d476e4fefff3813cc2545696e659e879c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3518",
    "kind": "arxiv",
    "version": 1
  }
}