Pith Number

pith:T2OZTV32

pith:2006:T2OZTV32LL2S6JLEVGOLBON7FW

not attested not anchored not stored refs pending

On double Hurwitz numbers in genus 0

Alek Vainshtein, Michael Shapiro, Sergei Shadrin

arxiv:math/0611442 v1 · 2006-11-14 · math.AG · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2OZTV32LL2S6JLEVGOLBON7FW}

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	2026-05-18T00:10:32.577825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e9d99d77a5af52f2564a99cb0b9bf2d9b10c59ed64a2b912a12971b150887c5

Aliases

arxiv: math/0611442 · arxiv_version: math/0611442v1 · doi: 10.48550/arxiv.math/0611442 · pith_short_12: T2OZTV32LL2S · pith_short_16: T2OZTV32LL2S6JLE · pith_short_8: T2OZTV32

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/T2OZTV32LL2S6JLEVGOLBON7FW \
  | 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: 9e9d99d77a5af52f2564a99cb0b9bf2d9b10c59ed64a2b912a12971b150887c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a14d6ade152219aaf369d451cb877119b01491447d909f25f1c7ec363cbe2738",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-11-14T22:33:26Z",
    "title_canon_sha256": "46029da6e79d88f59a41f3ba41582dd804a5c89f22445cf5b1af33c440797cfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611442",
    "kind": "arxiv",
    "version": 1
  }
}