Pith Number

pith:DFAMK6IR

pith:1999:DFAMK6IRDTWHDFCHHHRUKJNV2H

not attested not anchored not stored refs pending

K3 surfaces with order 11 automorphisms

De-Qi Zhang, Keiji Oguiso

arxiv:math/9907020 v2 · 1999-07-03 · 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{DFAMK6IRDTWHDFCHHHRUKJNV2H}

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	2026-05-18T00:12:57.462414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1940c579111cec71944739e34525b5d1e28ad9af6a7bd9dd3924898c77d89b31

Aliases

arxiv: math/9907020 · arxiv_version: math/9907020v2 · doi: 10.48550/arxiv.math/9907020 · pith_short_12: DFAMK6IRDTWH · pith_short_16: DFAMK6IRDTWHDFCH · pith_short_8: DFAMK6IR

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/DFAMK6IRDTWHDFCHHHRUKJNV2H \
  | 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: 1940c579111cec71944739e34525b5d1e28ad9af6a7bd9dd3924898c77d89b31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed6852303efaae7013f12942c0b9c2a5654876c2939d2707bf6bff96805b80df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "1999-07-03T02:45:36Z",
    "title_canon_sha256": "9b73dd66c5c8174a732e507a8b82bafa8c3b09a1d3b6c73fea59aa8327e20768"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9907020",
    "kind": "arxiv",
    "version": 2
  }
}