Pith Number

pith:4DOENLAE

pith:2013:4DOENLAESU4RLQXQUFRNWTMLBB

not attested not anchored not stored refs pending

Alexander Duality for Parametrized Homology

Sara Kalisnik Verovsek

arxiv:1303.1591 v2 · 2013-03-07 · 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{4DOENLAESU4RLQXQUFRNWTMLBB}

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	2026-05-18T00:03:59.792497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0dc46ac04953915c2f0a162db4d8b085ab89a6e80b83ce9ecd839fa09759110

Aliases

arxiv: 1303.1591 · arxiv_version: 1303.1591v2 · doi: 10.48550/arxiv.1303.1591 · pith_short_12: 4DOENLAESU4R · pith_short_16: 4DOENLAESU4RLQXQ · pith_short_8: 4DOENLAE

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/4DOENLAESU4RLQXQUFRNWTMLBB \
  | 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: e0dc46ac04953915c2f0a162db4d8b085ab89a6e80b83ce9ecd839fa09759110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2205f9a27aba85e85a249836719389b258d8906e6ebe6242941b92607abe9b9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-03-07T02:11:25Z",
    "title_canon_sha256": "8b76f32a9c402e6fb133746b11b37ce66fd970cba632d2e41ba1ca359ea4cf51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1591",
    "kind": "arxiv",
    "version": 2
  }
}