Pith Number

pith:P57T3RVJ

pith:2010:P57T3RVJFWSCM6L75ZYY2RRZAZ

not attested not anchored not stored refs pending

Bifurcation of hyperbolic planforms

Gr\'egory Faye, Olivier Faugeras, Pascal Chossat

arxiv:1007.2492 v1 · 2010-07-15 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P57T3RVJFWSCM6L75ZYY2RRZAZ}

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	2026-05-18T02:06:21.807484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f7f3dc6a92da426797fee718d4639065312676ef1c180adac1ba7e4fd797a14

Aliases

arxiv: 1007.2492 · arxiv_version: 1007.2492v1 · doi: 10.48550/arxiv.1007.2492 · pith_short_12: P57T3RVJFWSC · pith_short_16: P57T3RVJFWSCM6L7 · pith_short_8: P57T3RVJ

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/P57T3RVJFWSCM6L75ZYY2RRZAZ \
  | 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: 7f7f3dc6a92da426797fee718d4639065312676ef1c180adac1ba7e4fd797a14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2674e2c38ec4025180794fbcbbbece71b5068624bf0182a8e8c84457927ae30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-07-15T07:20:16Z",
    "title_canon_sha256": "e2fb67a6b83567105a447224ef2d6ce2eee38c2ee890d8b8e5b9eb49326a58a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2492",
    "kind": "arxiv",
    "version": 1
  }
}