Pith Number

pith:DRJGVM2Z

pith:2013:DRJGVM2ZI4Y2ZYXZENVI3UICML

not attested not anchored not stored refs pending

Gorenstein in codimension 4 - the general structure theory

Miles Reid

arxiv:1304.5248 v1 · 2013-04-18 · math.AG · 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{DRJGVM2ZI4Y2ZYXZENVI3UICML}

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	2026-05-18T03:27:33.963713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c526ab3594731ace2f9236a8dd10262e616e8369891bf75ed2240ae02e81ece

Aliases

arxiv: 1304.5248 · arxiv_version: 1304.5248v1 · doi: 10.48550/arxiv.1304.5248 · pith_short_12: DRJGVM2ZI4Y2 · pith_short_16: DRJGVM2ZI4Y2ZYXZ · pith_short_8: DRJGVM2Z

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/DRJGVM2ZI4Y2ZYXZENVI3UICML \
  | 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: 1c526ab3594731ace2f9236a8dd10262e616e8369891bf75ed2240ae02e81ece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f4cda657b3c89ac61a4019c2c85cb3a56632b29525e046df241776f607baef8",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-18T20:33:51Z",
    "title_canon_sha256": "3c5fe55adcec28cb4564d43211f419aa829ab1729bafd14d8468b778f7d822e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5248",
    "kind": "arxiv",
    "version": 1
  }
}