Pith Number

pith:XFW3BEDP

pith:2013:XFW3BEDPBOKEBNH7W3QH6I4R7F

not attested not anchored not stored refs pending

Counter-examples to the minimal model theory in characteristic two

Hiromu Tanaka

arxiv:1311.6352 v2 · 2013-11-25 · 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{XFW3BEDPBOKEBNH7W3QH6I4R7F}

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	2026-05-18T03:04:36.673599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b96db0906f0b9440b4ffb6e07f2391f974f3879c26e84a98bda0dbd88539ef0c

Aliases

arxiv: 1311.6352 · arxiv_version: 1311.6352v2 · doi: 10.48550/arxiv.1311.6352 · pith_short_12: XFW3BEDPBOKE · pith_short_16: XFW3BEDPBOKEBNH7 · pith_short_8: XFW3BEDP

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/XFW3BEDPBOKEBNH7W3QH6I4R7F \
  | 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: b96db0906f0b9440b4ffb6e07f2391f974f3879c26e84a98bda0dbd88539ef0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a91e6b779646c426d8681e837ff1b963055cf062dbd69f9309a4bb56418e967",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-25T16:28:30Z",
    "title_canon_sha256": "4d121e14d193f6d8a313e61888e3abcdb049222b4e390335674a2ff29ee391af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6352",
    "kind": "arxiv",
    "version": 2
  }
}