Pith Number

pith:B3JG4Z5F

pith:2013:B3JG4Z5FEXH3PJUUQEOGRC4FOO

not attested not anchored not stored refs pending

On the supersingular K3 surface in characteristic 5 with Artin invariant 1

Ichiro Shimada, Shigeyuki Kondo, Toshiyuki Katsura

arxiv:1312.0687 v2 · 2013-12-03 · 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{B3JG4Z5FEXH3PJUUQEOGRC4FOO}

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	2026-05-18T02:44:31.621344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ed26e67a525cfb7a694811c688b8573895ca9ddf286a9f13d291a5dd506a084

Aliases

arxiv: 1312.0687 · arxiv_version: 1312.0687v2 · doi: 10.48550/arxiv.1312.0687 · pith_short_12: B3JG4Z5FEXH3 · pith_short_16: B3JG4Z5FEXH3PJUU · pith_short_8: B3JG4Z5F

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/B3JG4Z5FEXH3PJUUQEOGRC4FOO \
  | 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: 0ed26e67a525cfb7a694811c688b8573895ca9ddf286a9f13d291a5dd506a084

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92431f637615115239ff76ee3f16c4bc0130a2c597a552e44319f86333b2b81a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-03T03:03:42Z",
    "title_canon_sha256": "0a3068eecb71034eb47d8ffaff66181360bb124fe3d123b815932d7872af8a68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0687",
    "kind": "arxiv",
    "version": 2
  }
}