Pith Number

pith:CEB5FHVH

pith:2014:CEB5FHVHWQHAPJAZJZNDA62IHJ

not attested not anchored not stored refs pending

Symmetry in the vanishing of Ext over Gorenstein rings

Craig Huneke, David Jorgensen

arxiv:1409.1119 v1 · 2014-09-03 · 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{CEB5FHVHWQHAPJAZJZNDA62IHJ}

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	2026-05-18T02:43:44.302795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1103d29ea7b40e07a4194e5a307b483a48cef30e4a8c173d1d53365a0482fbae

Aliases

arxiv: 1409.1119 · arxiv_version: 1409.1119v1 · doi: 10.48550/arxiv.1409.1119 · pith_short_12: CEB5FHVHWQHA · pith_short_16: CEB5FHVHWQHAPJAZ · pith_short_8: CEB5FHVH

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/CEB5FHVHWQHAPJAZJZNDA62IHJ \
  | 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: 1103d29ea7b40e07a4194e5a307b483a48cef30e4a8c173d1d53365a0482fbae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "456bc765776b952a49bf87be1e7ddfd7144506bc5384fe49450e0c41508e6876",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-09-03T15:16:15Z",
    "title_canon_sha256": "c389555e0824dfe62e134cbdece2c9291f298b67695b162743340f0d7712161b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1119",
    "kind": "arxiv",
    "version": 1
  }
}