Pith Number

pith:5RB77DLT

pith:2013:5RB77DLTUYV5HQS4BDBHG7LJVK

not attested not anchored not stored refs pending

Equivariant Poincar\'e-Alexander-Lefschetz duality and the Cohen-Macaulay property

Christopher Allday, Matthias Franz, Volker Puppe

arxiv:1303.1146 v3 · 2013-03-05 · 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{5RB77DLTUYV5HQS4BDBHG7LJVK}

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	2026-05-18T02:41:42.520133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec43ff8d73a62bd3c25c08c2737d69aaafa5e97d8cd3ccf07e2b4aceefb5be41

Aliases

arxiv: 1303.1146 · arxiv_version: 1303.1146v3 · doi: 10.48550/arxiv.1303.1146 · pith_short_12: 5RB77DLTUYV5 · pith_short_16: 5RB77DLTUYV5HQS4 · pith_short_8: 5RB77DLT

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/5RB77DLTUYV5HQS4BDBHG7LJVK \
  | 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: ec43ff8d73a62bd3c25c08c2737d69aaafa5e97d8cd3ccf07e2b4aceefb5be41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bbca66faad877bc5298ede63b30ff69f7275077aa042f75ba0622a961cc2238",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-03-05T19:37:49Z",
    "title_canon_sha256": "27590e16025d78c6d4ff24e6d56f8856bf7ced5d3a144c9a0dbd8e06a034cb95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1146",
    "kind": "arxiv",
    "version": 3
  }
}