Pith Number

pith:3U5PWILB

pith:2012:3U5PWILB33CBDFYXBN4DROXR5H

not attested not anchored not stored refs pending

Minimal models for rational functions in a dynamical setting

Alexander Molnar, Nils Bruin

arxiv:1204.4967 v2 · 2012-04-23 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3U5PWILB33CBDFYXBN4DROXR5H}

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	2026-05-17T23:53:18.786127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd3afb2161dec41197170b7838baf1e9ca4301b638f19d69b2043e03a3d5bc7f

Aliases

arxiv: 1204.4967 · arxiv_version: 1204.4967v2 · doi: 10.48550/arxiv.1204.4967 · pith_short_12: 3U5PWILB33CB · pith_short_16: 3U5PWILB33CBDFYX · pith_short_8: 3U5PWILB

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/3U5PWILB33CBDFYXBN4DROXR5H \
  | 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: dd3afb2161dec41197170b7838baf1e9ca4301b638f19d69b2043e03a3d5bc7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba65d38f074b5d8874d1be8137081490aab0cc6c62d5d7f373b5ec524975037f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-23T04:04:27Z",
    "title_canon_sha256": "ce89a46303eae0874a317f7452c3ef04ab4816acef49c15f647e1373e5f4e37b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4967",
    "kind": "arxiv",
    "version": 2
  }
}