Pith Number

pith:JIAG6HD7

pith:2013:JIAG6HD7UJCDKBIKK474WWLW3O

not attested not anchored not stored refs pending

Natural extensions for piecewise affine maps via Hofbauer towers

Charlene Kalle, Henk Bruin

arxiv:1306.5451 v1 · 2013-06-23 · 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{JIAG6HD7UJCDKBIKK474WWLW3O}

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	2026-05-18T03:20:08.065121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a006f1c7fa24435050a573fcb5976dbb97e8eec88f832914426403bdc248519

Aliases

arxiv: 1306.5451 · arxiv_version: 1306.5451v1 · doi: 10.48550/arxiv.1306.5451 · pith_short_12: JIAG6HD7UJCD · pith_short_16: JIAG6HD7UJCDKBIK · pith_short_8: JIAG6HD7

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/JIAG6HD7UJCDKBIKK474WWLW3O \
  | 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: 4a006f1c7fa24435050a573fcb5976dbb97e8eec88f832914426403bdc248519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b7444972ffaf3ec08f950dd5125bd5245e2a356b4cd20828071b63b04a0a4ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-23T18:26:24Z",
    "title_canon_sha256": "c90959d768dc152ee2789539a8209967ec6ea3b004c217d0e1766fa730c7a3e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5451",
    "kind": "arxiv",
    "version": 1
  }
}