Pith Number

pith:CWELDXF5

pith:2013:CWELDXF5C4H5GXQDD5RRGJULWN

not attested not anchored not stored refs pending

Abundant rich phase transitions in step skew products

K. Gelfert, L. J. D\'iaz, M. Rams

arxiv:1303.0581 v1 · 2013-03-03 · 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{CWELDXF5C4H5GXQDD5RRGJULWN}

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	2026-05-18T01:51:17.619718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1588b1dcbd170fd35e031f6313268bb353f2342241b9b318cb02dc6379475f09

Aliases

arxiv: 1303.0581 · arxiv_version: 1303.0581v1 · doi: 10.48550/arxiv.1303.0581 · pith_short_12: CWELDXF5C4H5 · pith_short_16: CWELDXF5C4H5GXQD · pith_short_8: CWELDXF5

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/CWELDXF5C4H5GXQDD5RRGJULWN \
  | 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: 1588b1dcbd170fd35e031f6313268bb353f2342241b9b318cb02dc6379475f09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61ebfceb6eb073dad8441077b66c76e67b81130b65c81811743ebb87a5cf861e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-03-03T23:35:27Z",
    "title_canon_sha256": "e8fbfd0e0a994cb2af14d29a6239932596ad5bf3807ab62b41c1d8eb49801b31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0581",
    "kind": "arxiv",
    "version": 1
  }
}