Pith Number

pith:GHY4XSSB

pith:2011:GHY4XSSBS3HP6WH5MPP6V6S2UX

not attested not anchored not stored refs pending

A cohomological study of local rings of embedding codepth 3

Luchezar L. Avramov

arxiv:1105.3991 v2 · 2011-05-19 · math.AC · math.KT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHY4XSSBS3HP6WH5MPP6V6S2UX}

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	2026-05-18T04:02:37.567212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31f1cbca4196ceff58fd63dfeafa5aa5d866a72170f982c7c2692db4109b24b2

Aliases

arxiv: 1105.3991 · arxiv_version: 1105.3991v2 · doi: 10.48550/arxiv.1105.3991 · pith_short_12: GHY4XSSBS3HP · pith_short_16: GHY4XSSBS3HP6WH5 · pith_short_8: GHY4XSSB

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/GHY4XSSBS3HP6WH5MPP6V6S2UX \
  | 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: 31f1cbca4196ceff58fd63dfeafa5aa5d866a72170f982c7c2692db4109b24b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea7120ed5597cf77499e01e14e157249e156cf0a76bb38d66de88a35fe119085",
    "cross_cats_sorted": [
      "math.KT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-05-19T21:37:18Z",
    "title_canon_sha256": "5382d6627df9a4bb268a57d32115900c2b66bcb41f94865b40c433244cca54f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3991",
    "kind": "arxiv",
    "version": 2
  }
}