Pith Number

pith:ZW5MISFA

pith:2014:ZW5MISFAQUVQODBEHSESXIVHX3

not attested not anchored not stored refs pending

Vanishing of Ext and Tor over Cohen-Macaulay local rings

Adela Vraciu, Craig Huneke, Liana Sega

arxiv:1409.1141 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{ZW5MISFAQUVQODBEHSESXIVHX3}

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	2026-05-18T02:43:37.637925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdbac448a0852b070c243c892ba2a7beebed0f5331ca53f35f4baf87da43f1ef

Aliases

arxiv: 1409.1141 · arxiv_version: 1409.1141v1 · doi: 10.48550/arxiv.1409.1141 · pith_short_12: ZW5MISFAQUVQ · pith_short_16: ZW5MISFAQUVQODBE · pith_short_8: ZW5MISFA

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/ZW5MISFAQUVQODBEHSESXIVHX3 \
  | 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: cdbac448a0852b070c243c892ba2a7beebed0f5331ca53f35f4baf87da43f1ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0698da19ebdcf54f4a6c33d6f01fd8705dfdb7c071fd2fa87fa3b080769684bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-09-03T16:19:39Z",
    "title_canon_sha256": "08c8c449670b0aa681476a7d75d7e01c66a743965da581b4149324fba56350b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1141",
    "kind": "arxiv",
    "version": 1
  }
}