Pith Number

pith:JOO2QABO

pith:1997:JOO2QABOGRYVCHIKVCDXK2ZUNU

not attested not anchored not stored refs pending

Pruning fronts and the formation of horseshoes

Andre de Carvalho

arxiv:math/9701217 v1 · 1997-01-15 · 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{JOO2QABOGRYVCHIKVCDXK2ZUNU}

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	2026-05-18T01:05:37.261220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b9da8002e3471511d0aa887756b346d2f7825bc42c1d60e7d369473ad505402

Aliases

arxiv: math/9701217 · arxiv_version: math/9701217v1 · doi: 10.48550/arxiv.math/9701217 · pith_short_12: JOO2QABOGRYV · pith_short_16: JOO2QABOGRYVCHIK · pith_short_8: JOO2QABO

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/JOO2QABOGRYVCHIKVCDXK2ZUNU \
  | 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: 4b9da8002e3471511d0aa887756b346d2f7825bc42c1d60e7d369473ad505402

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2d5e59d7baa73b31ccc7ecb48be19c34007c9c92aaf210e90f870fdff9abf69",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1997-01-15T00:00:00Z",
    "title_canon_sha256": "c446064d32f036f77b482e44928df8f410f3601f3dd736ec3949648e2c3f4c1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9701217",
    "kind": "arxiv",
    "version": 1
  }
}