Pith Number

pith:2EU6CZ4E

pith:2001:2EU6CZ4ELXIKUUHZLKN7EAKXLO

not attested not anchored not stored refs pending

On Gorenstein Surfaces Dominated by P^2

C. R. Pradeep, D. -Q. Zhang, R. V. Gurjar

arxiv:math/0112242 v1 · 2001-12-21 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2EU6CZ4ELXIKUUHZLKN7EAKXLO}

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	2026-07-04T14:35:49.694738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d129e167845dd0aa50f95a9bf201575bb17f9455fa83968734c45daf67223e4f

Aliases

arxiv: math/0112242 · arxiv_version: math/0112242v1 · doi: 10.48550/arxiv.math/0112242 · pith_short_12: 2EU6CZ4ELXIK · pith_short_16: 2EU6CZ4ELXIKUUHZ · pith_short_8: 2EU6CZ4E

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/2EU6CZ4ELXIKUUHZLKN7EAKXLO \
  | 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: d129e167845dd0aa50f95a9bf201575bb17f9455fa83968734c45daf67223e4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48e44420383adcfee68948ab4a84a5dd47fa1ce20935d9515701fff3adc9d326",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-12-21T10:53:02Z",
    "title_canon_sha256": "cc200dfc106f07df57644289b9c1be3a2ad890007cba598bc8d0ea48538ef927"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0112242",
    "kind": "arxiv",
    "version": 1
  }
}