Pith Number

pith:WJIGBALG

pith:2013:WJIGBALGROMIT3ULBBSVZ6Q3Y6

not attested not anchored not stored refs pending

Axioms for the Lefschetz number as a lattice valuation

P. Christopher Staecker

arxiv:1307.2131 v1 · 2013-07-08 · math.GN · 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{WJIGBALGROMIT3ULBBSVZ6Q3Y6}

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	2026-05-18T03:19:02.331388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2506081668b9889ee8b08655cfa1bc78eeb51fb6f8848cdb10164f464b503be

Aliases

arxiv: 1307.2131 · arxiv_version: 1307.2131v1 · doi: 10.48550/arxiv.1307.2131 · pith_short_12: WJIGBALGROMI · pith_short_16: WJIGBALGROMIT3UL · pith_short_8: WJIGBALG

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/WJIGBALGROMIT3ULBBSVZ6Q3Y6 \
  | 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: b2506081668b9889ee8b08655cfa1bc78eeb51fb6f8848cdb10164f464b503be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c8a4c11b02a8e35ed828bd3f1c4296d401c0ce33d1f72d915c45309136eb502",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-07-08T15:37:31Z",
    "title_canon_sha256": "32817230ffa404c5eec2e39bb5380e45a8ca5546f417a4959828c114ff61f9c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2131",
    "kind": "arxiv",
    "version": 1
  }
}