Pith Number

pith:3I63MVA4

pith:2010:3I63MVA4BTNKEDT6Z3FQ7TREIU

not attested not anchored not stored refs pending

Simple relations in the Cremona group

J\'er\'emy Blanc

arxiv:1011.4432 v1 · 2010-11-19 · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3I63MVA4BTNKEDT6Z3FQ7TREIU}

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	2026-05-18T03:30:15.174285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da3db6541c0cdaa20e7ececb0fce24451ec06dcf784259167ce0388a8b43872c

Aliases

arxiv: 1011.4432 · arxiv_version: 1011.4432v1 · doi: 10.48550/arxiv.1011.4432 · pith_short_12: 3I63MVA4BTNK · pith_short_16: 3I63MVA4BTNKEDT6 · pith_short_8: 3I63MVA4

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/3I63MVA4BTNKEDT6Z3FQ7TREIU \
  | 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: da3db6541c0cdaa20e7ececb0fce24451ec06dcf784259167ce0388a8b43872c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "583b964eca3970de5d758d23c3ccccaab3d4d5d772eab840423d9109336a7228",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-19T14:00:49Z",
    "title_canon_sha256": "b2bda15e397e66475e0acdc70f494dbafe0697a094da2d3ea9c8c54d77e8eb75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4432",
    "kind": "arxiv",
    "version": 1
  }
}