Pith Number

pith:PADCSMMX

pith:2008:PADCSMMXZUTQLTFHB2ZMGMT33F

not attested not anchored not stored refs pending

Absence of line fields and Mane's theorem for non-recurrent transcendental functions

Lasse Rempe, Sebastian van Strien

arxiv:0802.0666 v3 · 2008-02-05 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PADCSMMXZUTQLTFHB2ZMGMT33F}

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	2026-05-18T02:37:45.142706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7806293197cd2705cca70eb2c3327bd94c2e7284754b258aa7c601133e72e82b

Aliases

arxiv: 0802.0666 · arxiv_version: 0802.0666v3 · doi: 10.48550/arxiv.0802.0666 · pith_short_12: PADCSMMXZUTQ · pith_short_16: PADCSMMXZUTQLTFH · pith_short_8: PADCSMMX

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/PADCSMMXZUTQLTFHB2ZMGMT33F \
  | 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: 7806293197cd2705cca70eb2c3327bd94c2e7284754b258aa7c601133e72e82b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42df84444fa4035ded0338d860e32ecf5fe275c57744c41901bff017dbc00812",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-02-05T16:54:48Z",
    "title_canon_sha256": "38803da7697ae12e960ed14d2c5cf5fa191922b83f66f2f786597673e9f53579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.0666",
    "kind": "arxiv",
    "version": 3
  }
}