Pith Number

pith:HVAAKNB3

pith:2011:HVAAKNB3RRYWN2CJTANETIXKYH

not attested not anchored not stored refs pending

Shapes of free resolutions over a local ring

Christine Berkesch, Daniel Erman, Manoj Kummini, Steven V Sam

arxiv:1105.2244 v2 · 2011-05-11 · 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{HVAAKNB3RRYWN2CJTANETIXKYH}

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	2026-05-18T03:43:18.867658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d4005343b8c7166e849981a49a2eac1cffc573d8c29109e7446874ff9080f78

Aliases

arxiv: 1105.2244 · arxiv_version: 1105.2244v2 · doi: 10.48550/arxiv.1105.2244 · pith_short_12: HVAAKNB3RRYW · pith_short_16: HVAAKNB3RRYWN2CJ · pith_short_8: HVAAKNB3

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/HVAAKNB3RRYWN2CJTANETIXKYH \
  | 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: 3d4005343b8c7166e849981a49a2eac1cffc573d8c29109e7446874ff9080f78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1f1e0e7a77da5c7de0e06427cc68878442cd5b18941aad9d2f9bad48a77091b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-05-11T16:34:46Z",
    "title_canon_sha256": "201b9b10bcdbde3ec07e82a0ac8b98dd5297ab25994c0c3db5726361e82015ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2244",
    "kind": "arxiv",
    "version": 2
  }
}