Pith Number

pith:J47ZZWJP

pith:2013:J47ZZWJPTCD4WE73JGYF7CH3HC

not attested not anchored not stored refs pending

Birational morphisms and Poisson moduli spaces

Eric M. Rains

arxiv:1307.4032 v3 · 2013-07-15 · 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{J47ZZWJPTCD4WE73JGYF7CH3HC}

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.

Cited by

1 paper in Pith

The birational geometry of noncommutative surfaces

Receipt and verification

First computed	2026-05-17T23:39:32.811976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f3f9cd92f9887cb13fb49b05f88fb38a424ec2f9e394e2ba7a72753ce819bcd

Aliases

arxiv: 1307.4032 · arxiv_version: 1307.4032v3 · doi: 10.48550/arxiv.1307.4032 · pith_short_12: J47ZZWJPTCD4 · pith_short_16: J47ZZWJPTCD4WE73 · pith_short_8: J47ZZWJP

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/J47ZZWJPTCD4WE73JGYF7CH3HC \
  | 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: 4f3f9cd92f9887cb13fb49b05f88fb38a424ec2f9e394e2ba7a72753ce819bcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3835a798ba33f115c3c47379d0e79d36763e58eab7e562cf6bd2cd189d89c22b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-15T17:46:57Z",
    "title_canon_sha256": "0e3fcccd1386cc97afc4070d651e2839dd392f2e70c0c1dbbadecf46fd8bbf07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4032",
    "kind": "arxiv",
    "version": 3
  }
}