Pith Number

pith:LOD552XS

pith:2012:LOD552XS4M3MYGXTA4C4DFZF32

not attested not anchored not stored refs pending

A Phase Transition for Circle Maps and Cherry Flows

Liviana Palmisano

arxiv:1203.6301 v1 · 2012-03-28 · 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{LOD552XS4M3MYGXTA4C4DFZF32}

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	2026-05-18T01:58:00.883435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b87deeaf2e336cc1af30705c19725de887b927b752c7e27f7956c5844e31314

Aliases

arxiv: 1203.6301 · arxiv_version: 1203.6301v1 · doi: 10.48550/arxiv.1203.6301 · pith_short_12: LOD552XS4M3M · pith_short_16: LOD552XS4M3MYGXT · pith_short_8: LOD552XS

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/LOD552XS4M3MYGXTA4C4DFZF32 \
  | 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: 5b87deeaf2e336cc1af30705c19725de887b927b752c7e27f7956c5844e31314

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0c1963094014b9e03cfa44b572ead66b89bc6a1f5d4b43771e9702ec6e58e72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-28T15:49:18Z",
    "title_canon_sha256": "3b2266f45e28f22b2d88d5b778be555db3ac0442d311cb079339d49f792daa78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6301",
    "kind": "arxiv",
    "version": 1
  }
}