Pith Number

pith:WYPR77WL

pith:2018:WYPR77WLXTGO4ATEJNLX2BYOSD

not attested not anchored not stored refs pending

A new presentation of the plane Cremona group

Christian Urech, Susanna Zimmermann

arxiv:1802.02735 v1 · 2018-02-08 · 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{WYPR77WLXTGO4ATEJNLX2BYOSD}

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	2026-05-18T00:24:03.220404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b61f1ffecbbcccee02644b577d070e90e3f03740c76d0a9cd1e43da49cceedd9

Aliases

arxiv: 1802.02735 · arxiv_version: 1802.02735v1 · doi: 10.48550/arxiv.1802.02735 · pith_short_12: WYPR77WLXTGO · pith_short_16: WYPR77WLXTGO4ATE · pith_short_8: WYPR77WL

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/WYPR77WLXTGO4ATEJNLX2BYOSD \
  | 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: b61f1ffecbbcccee02644b577d070e90e3f03740c76d0a9cd1e43da49cceedd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84cc2932827f16066205db3b9f5659118f3222a151901375edf452545ecab70f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-02-08T08:04:04Z",
    "title_canon_sha256": "2dc8e04b185e1507aaccaa8558114aa16a9f2878d73480dbe1042e192618f470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02735",
    "kind": "arxiv",
    "version": 1
  }
}