Pith Number

pith:6NJOVU2X

pith:2015:6NJOVU2XKRZBX5UANSRSYOOY6Y

not attested not anchored not stored refs pending

Rigidity of critical circle maps

Marco Martens, Pablo Guarino, Welington de Melo

arxiv:1511.02792 v1 · 2015-11-09 · 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{6NJOVU2XKRZBX5UANSRSYOOY6Y}

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	2026-05-18T00:01:01.008400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f352ead35754721bf6806ca32c39d8f62a18ddeb42ca97d6eaff58c20d5192d2

Aliases

arxiv: 1511.02792 · arxiv_version: 1511.02792v1 · doi: 10.48550/arxiv.1511.02792 · pith_short_12: 6NJOVU2XKRZB · pith_short_16: 6NJOVU2XKRZBX5UA · pith_short_8: 6NJOVU2X

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/6NJOVU2XKRZBX5UANSRSYOOY6Y \
  | 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: f352ead35754721bf6806ca32c39d8f62a18ddeb42ca97d6eaff58c20d5192d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbe4af8a9ef743a2a3fba0c32077dfb45461fca764ac52e8540ca2142fbf309d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-09T18:15:07Z",
    "title_canon_sha256": "df7c8ddb4069dc19b92edd1b69608745e97eaed266ded912b90e69938a9c6d4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02792",
    "kind": "arxiv",
    "version": 1
  }
}