Pith Number

pith:5WHMP3YU

pith:2010:5WHMP3YUGEA3OP37C4YKP5NXYY

not attested not anchored not stored refs pending

Degenerations of K3 Surfaces of Degree Two

Alan Thompson

arxiv:1010.5906 v4 · 2010-10-28 · 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{5WHMP3YUGEA3OP37C4YKP5NXYY}

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	2026-05-18T03:05:26.512060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed8ec7ef143101b73f7f1730a7f5b7c60e071f7d90e969d4246e611f66119b49

Aliases

arxiv: 1010.5906 · arxiv_version: 1010.5906v4 · doi: 10.48550/arxiv.1010.5906 · pith_short_12: 5WHMP3YUGEA3 · pith_short_16: 5WHMP3YUGEA3OP37 · pith_short_8: 5WHMP3YU

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/5WHMP3YUGEA3OP37C4YKP5NXYY \
  | 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: ed8ec7ef143101b73f7f1730a7f5b7c60e071f7d90e969d4246e611f66119b49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8122cfb3425add7317eaf413c2e30cb78bb3b05879fed6b3fb804cd5d770341b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-28T09:44:58Z",
    "title_canon_sha256": "4cfa9f00d8b1782b4ec380a3e3933ba4044071d1c95ec025775c33a1d216377c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5906",
    "kind": "arxiv",
    "version": 4
  }
}