Pith Number

pith:7HILMUSJ

pith:2009:7HILMUSJM2UZ4YTQHKY47MZXP7

not attested not anchored not stored refs pending

On K3 surfaces which dominate Kummer surfaces

Shouhei Ma

arxiv:0905.4107 v3 · 2009-05-26 · 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{7HILMUSJM2UZ4YTQHKY47MZXP7}

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	2026-05-18T04:14:16.769441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9d0b6524966a99e62703ab1cfb3377fec96cd030160b975d44bd7a4846744e9

Aliases

arxiv: 0905.4107 · arxiv_version: 0905.4107v3 · doi: 10.48550/arxiv.0905.4107 · pith_short_12: 7HILMUSJM2UZ · pith_short_16: 7HILMUSJM2UZ4YTQ · pith_short_8: 7HILMUSJ

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/7HILMUSJM2UZ4YTQHKY47MZXP7 \
  | 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: f9d0b6524966a99e62703ab1cfb3377fec96cd030160b975d44bd7a4846744e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5022ef8c52a8fbd6219bc6a872ca06c8db496cb009175995b2676b8dd4520e23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-05-26T02:45:09Z",
    "title_canon_sha256": "5f02db7dfcd0172fd512e661ccc5a6a29840cd90a570e78725442356583e3da4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4107",
    "kind": "arxiv",
    "version": 3
  }
}