Pith Number

pith:MUL6ALD4

pith:2012:MUL6ALD4FYRR35MIVNRO7VUHVT

not attested not anchored not stored refs pending

On the G\"ottsche Threshold

Steven L. Kleiman, Vivek V. Shende, with an appendix by Ilya Tyomkin

arxiv:1204.6254 v2 · 2012-04-27 · 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{MUL6ALD4FYRR35MIVNRO7VUHVT}

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	2026-05-18T03:34:16.297540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6517e02c7c2e231df588ab62efd687acfb8c6fed100f32c931bc3e4865c4bbf6

Aliases

arxiv: 1204.6254 · arxiv_version: 1204.6254v2 · doi: 10.48550/arxiv.1204.6254 · pith_short_12: MUL6ALD4FYRR · pith_short_16: MUL6ALD4FYRR35MI · pith_short_8: MUL6ALD4

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/MUL6ALD4FYRR35MIVNRO7VUHVT \
  | 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: 6517e02c7c2e231df588ab62efd687acfb8c6fed100f32c931bc3e4865c4bbf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40d20d95d27ba9ef23efb0d35ae6a12e565906d974cc1a26199283a709b6fbbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-27T15:45:56Z",
    "title_canon_sha256": "083c01f2fee1d3312cec2e764fac4021b76544d3f8e0f9a1c713bc239b2de6c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6254",
    "kind": "arxiv",
    "version": 2
  }
}