Pith Number

pith:2L54R53U

pith:2011:2L54R53UHSXMXFFAFW7EAR6SEK

not attested not anchored not stored refs pending

The vanishing of a higher codimension analog of Hochster's theta invariant

Greg Piepmeyer, Mark E. Walker, Sandra Spiroff, W. Frank Moore

arxiv:1110.2442 v2 · 2011-10-11 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2L54R53UHSXMXFFAFW7EAR6SEK}

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	2026-05-18T03:55:12.241950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2fbc8f7743caecb94a02dbe4047d222b2a0b0adcaa60d1b0fdbab6f10e5ef7b

Aliases

arxiv: 1110.2442 · arxiv_version: 1110.2442v2 · doi: 10.48550/arxiv.1110.2442 · pith_short_12: 2L54R53UHSXM · pith_short_16: 2L54R53UHSXMXFFA · pith_short_8: 2L54R53U

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/2L54R53UHSXMXFFAFW7EAR6SEK \
  | 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: d2fbc8f7743caecb94a02dbe4047d222b2a0b0adcaa60d1b0fdbab6f10e5ef7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9947a0451187739dcaa6e009739af4fcda8bcac90c8c0b57ff28ebc9f320c5f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-11T17:21:57Z",
    "title_canon_sha256": "fadf66647b0dde182de50cc244cdab113b57fa209af9fa943a54b5946ed7d508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2442",
    "kind": "arxiv",
    "version": 2
  }
}