Pith Number

pith:KUBR4HCN

pith:2004:KUBR4HCNJPT2745ZED7W6JPSRL

not attested not anchored not stored refs pending

Eigenfunctions for smooth expanding circle maps

Gerhard Keller, Hans Henrik Rugh

arxiv:math/0405055 v1 · 2004-05-04 · 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{KUBR4HCNJPT2745ZED7W6JPSRL}

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	2026-05-18T04:28:10.315048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55031e1c4d4be7aff3b920ff6f25f28ac290c915ffdc27f37f78018f6552a596

Aliases

arxiv: math/0405055 · arxiv_version: math/0405055v1 · doi: 10.48550/arxiv.math/0405055 · pith_short_12: KUBR4HCNJPT2 · pith_short_16: KUBR4HCNJPT2745Z · pith_short_8: KUBR4HCN

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/KUBR4HCNJPT2745ZED7W6JPSRL \
  | 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: 55031e1c4d4be7aff3b920ff6f25f28ac290c915ffdc27f37f78018f6552a596

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e7b5418bccd0d45b74b62e45c95d9e91df222acfb94daa88ec82a6338c715c5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2004-05-04T14:11:27Z",
    "title_canon_sha256": "dbdfdeba8b61cf5a0b813890a63811dfe30d2a42ac531ea4c2a3e8d7ab4aec93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405055",
    "kind": "arxiv",
    "version": 1
  }
}