Pith Number

pith:C6D3ZMZQ

pith:2014:C6D3ZMZQ2RNSEREGSHC7YHUH5S

not attested not anchored not stored refs pending

Cohomologically complete intersections with vanishing of Betti numbers

Waqas Mahmood

arxiv:1407.0472 v1 · 2014-07-02 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C6D3ZMZQ2RNSEREGSHC7YHUH5S}

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	2026-05-18T02:48:26.834587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1787bcb330d45b22448691c5fc1e87ec84b9b9cbc9187cb1f6842bfae6181af3

Aliases

arxiv: 1407.0472 · arxiv_version: 1407.0472v1 · doi: 10.48550/arxiv.1407.0472 · pith_short_12: C6D3ZMZQ2RNS · pith_short_16: C6D3ZMZQ2RNSEREG · pith_short_8: C6D3ZMZQ

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/C6D3ZMZQ2RNSEREGSHC7YHUH5S \
  | 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: 1787bcb330d45b22448691c5fc1e87ec84b9b9cbc9187cb1f6842bfae6181af3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e555c8e091995fc20755f764cf6c1e2997abf6972e858defd5c2f75c103475c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-07-02T07:24:30Z",
    "title_canon_sha256": "d1baf5c74067e469701a79ed874c4967ce5dca4baa586fe33c538d08d5d680da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0472",
    "kind": "arxiv",
    "version": 1
  }
}