Pith Number

pith:3RJH2TIR

pith:2004:3RJH2TIRGJYMEM3XR3Z7VICB2C

not attested not anchored not stored refs pending

K3 surfaces with ten cusps

De-Qi Zhang, Ichiro Shimada

arxiv:math/0411425 v1 · 2004-11-19 · 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{3RJH2TIRGJYMEM3XR3Z7VICB2C}

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	2026-05-18T00:12:57.509460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc527d4d113270c233778ef3faa041d08743c1b6c61588815e33d644c6e08375

Aliases

arxiv: math/0411425 · arxiv_version: math/0411425v1 · doi: 10.48550/arxiv.math/0411425 · pith_short_12: 3RJH2TIRGJYM · pith_short_16: 3RJH2TIRGJYMEM3X · pith_short_8: 3RJH2TIR

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/3RJH2TIRGJYMEM3XR3Z7VICB2C \
  | 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: dc527d4d113270c233778ef3faa041d08743c1b6c61588815e33d644c6e08375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f74994dc09371ce0b36dfa2bc1ae66150393dda6293658ad43f5cc51dee876f0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-11-19T03:42:35Z",
    "title_canon_sha256": "48d2b3859008bb7728e9e048da14d3c8a37de25e21e283b6b587240a8da63dc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411425",
    "kind": "arxiv",
    "version": 1
  }
}