Pith Number

pith:CCEQOTVW

pith:2009:CCEQOTVWCXL53D27QWXP25NW2V

not attested not anchored not stored refs pending

Vanishing of Tor Over Complete Intersections

Olgur Celikbas

arxiv:0904.1408 v3 · 2009-04-08 · 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{CCEQOTVWCXL53D27QWXP25NW2V}

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	2026-05-18T00:55:29.004833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1089074eb615d7dd8f5f85aefd75b6d540b41486bd68d422ea47909581045c46

Aliases

arxiv: 0904.1408 · arxiv_version: 0904.1408v3 · doi: 10.48550/arxiv.0904.1408 · pith_short_12: CCEQOTVWCXL5 · pith_short_16: CCEQOTVWCXL53D27 · pith_short_8: CCEQOTVW

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/CCEQOTVWCXL53D27QWXP25NW2V \
  | 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: 1089074eb615d7dd8f5f85aefd75b6d540b41486bd68d422ea47909581045c46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f135041aa529d4573203cc3b49728fa5fa993049652338574275ce4d8b07b3b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-04-08T19:16:02Z",
    "title_canon_sha256": "6c13fef56e3e1eb622ba103d291af8c47e8ca67ac767f8aff8695eb0443260cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1408",
    "kind": "arxiv",
    "version": 3
  }
}