Pith Number

pith:SHJZCZDG

pith:2010:SHJZCZDGEUUDJLLF7Q4O3IICZM

not attested not anchored not stored refs pending

Applications of closure operations on big CohenMacaulay algebras

Mohsen Asgharzadeh, Rajsekhar Bhattacharyya

arxiv:1009.1454 v2 · 2010-09-08 · 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{SHJZCZDGEUUDJLLF7Q4O3IICZM}

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	2026-05-18T03:47:09.002143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91d3916466252834ad65fc38eda102cb26e93cde7e00ed56599f8f81fc8c703e

Aliases

arxiv: 1009.1454 · arxiv_version: 1009.1454v2 · doi: 10.48550/arxiv.1009.1454 · pith_short_12: SHJZCZDGEUUD · pith_short_16: SHJZCZDGEUUDJLLF · pith_short_8: SHJZCZDG

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/SHJZCZDGEUUDJLLF7Q4O3IICZM \
  | 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: 91d3916466252834ad65fc38eda102cb26e93cde7e00ed56599f8f81fc8c703e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a78897f219efb23163b3d093699ae9f18b802a7dc42ef68880da937d15891de4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-09-08T06:10:30Z",
    "title_canon_sha256": "70d134118a2d464734bc895944b5bc65693e53b18ce96b837b54e494ac99a981"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1454",
    "kind": "arxiv",
    "version": 2
  }
}