Pith Number

pith:5BSPNEYK

pith:2011:5BSPNEYKYUVFRAHT4EIJGBLZAK

not attested not anchored not stored refs pending

Computer aided Unirationality Proofs of Moduli Spaces

Frank-Olaf Schreyer

arxiv:1109.4600 v1 · 2011-09-21 · 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{5BSPNEYKYUVFRAHT4EIJGBLZAK}

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	2026-05-18T04:12:34.386470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e864f6930ac52a5880f3e11093057902bb53719e6ac26076a3e567197e20a266

Aliases

arxiv: 1109.4600 · arxiv_version: 1109.4600v1 · doi: 10.48550/arxiv.1109.4600 · pith_short_12: 5BSPNEYKYUVF · pith_short_16: 5BSPNEYKYUVFRAHT · pith_short_8: 5BSPNEYK

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/5BSPNEYKYUVFRAHT4EIJGBLZAK \
  | 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: e864f6930ac52a5880f3e11093057902bb53719e6ac26076a3e567197e20a266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a12b623207d7ec6ea4a2b6358e29c35dfc4c7738c0f9c97da95d1492f1767ffb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-21T18:01:40Z",
    "title_canon_sha256": "f9dd8e5a2cbd494a1a37bf296ce86af0b856bf0732c0f1f21b277f785d3d2c49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4600",
    "kind": "arxiv",
    "version": 1
  }
}