Pith Number

pith:NTMUM7WE

pith:2008:NTMUM7WESU35ROWAS3MRWCWMXO

not attested not anchored not stored refs pending

Growth in the minimal injective resolution of a local ring

Janet Striuli, Lars Winther Christensen, Oana Veliche

arxiv:0812.4672 v2 · 2008-12-26 · 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{NTMUM7WESU35ROWAS3MRWCWMXO}

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	2026-05-18T02:58:10.842200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cd9467ec49537d8bac096d91b0accbba45d9d83a49a49eeef64b349a584ade9

Aliases

arxiv: 0812.4672 · arxiv_version: 0812.4672v2 · doi: 10.48550/arxiv.0812.4672 · pith_short_12: NTMUM7WESU35 · pith_short_16: NTMUM7WESU35ROWA · pith_short_8: NTMUM7WE

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/NTMUM7WESU35ROWAS3MRWCWMXO \
  | 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: 6cd9467ec49537d8bac096d91b0accbba45d9d83a49a49eeef64b349a584ade9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e33b08f2ed3550cce09d016b9258fc867f5f7c8f7bf7398a5c734cffd8188f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2008-12-26T11:58:21Z",
    "title_canon_sha256": "0c16863fb83f4a90a941922f2e9fb97e1423b6be2679d6714ff63fb0823228f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4672",
    "kind": "arxiv",
    "version": 2
  }
}