Pith Number

pith:DCLNPMO4

pith:2012:DCLNPMO452MCQQB5JUZCBOV6I3

not attested not anchored not stored refs pending

Ordinary and symbolic powers are Golod

Craig Huneke, J\"urgen Herzog

arxiv:1212.6579 v1 · 2012-12-29 · 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{DCLNPMO452MCQQB5JUZCBOV6I3}

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	2026-05-18T03:37:31.508067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1896d7b1dcee9828403d4d3220babe46ecdfcadbf432173ba9f0ca552b3f85ad

Aliases

arxiv: 1212.6579 · arxiv_version: 1212.6579v1 · doi: 10.48550/arxiv.1212.6579 · pith_short_12: DCLNPMO452MC · pith_short_16: DCLNPMO452MCQQB5 · pith_short_8: DCLNPMO4

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/DCLNPMO452MCQQB5JUZCBOV6I3 \
  | 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: 1896d7b1dcee9828403d4d3220babe46ecdfcadbf432173ba9f0ca552b3f85ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "635cba130f897a376236a1da3604dd002150d47a32063abe958ba75ecb5df1c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-12-29T01:00:22Z",
    "title_canon_sha256": "8f6e886dba5f470e9b05fa6cf0b4b4be4c98bc679716e494be53ce875f9d0045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6579",
    "kind": "arxiv",
    "version": 1
  }
}