Pith Number

pith:5VTYO23F

pith:2000:5VTYO23FVJG3W3PW3IH4HRJBJ5

not attested not anchored not stored refs pending

Homoclinic tangencies and hyperbolicity for surface diffeomorphisms

Enrique R. Pujals, Mart\'in Sambarino

arxiv:math/0005303 v1 · 2000-05-01 · 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{5VTYO23FVJG3W3PW3IH4HRJBJ5}

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	2026-05-18T01:09:07.909759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed67876b65aa4dbb6df6da0fc3c5214f5a7868ce2e3b20b693424c0adebc36e4

Aliases

arxiv: math/0005303 · arxiv_version: math/0005303v1 · doi: 10.48550/arxiv.math/0005303 · pith_short_12: 5VTYO23FVJG3 · pith_short_16: 5VTYO23FVJG3W3PW · pith_short_8: 5VTYO23F

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/5VTYO23FVJG3W3PW3IH4HRJBJ5 \
  | 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: ed67876b65aa4dbb6df6da0fc3c5214f5a7868ce2e3b20b693424c0adebc36e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de30f37dd8251c4c45916c5a80689033ec17f783e7d43e9f50708517dbbb487",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2000-05-01T00:00:00Z",
    "title_canon_sha256": "f6879a3424fa31645b33c82d17e23f2c00e4b4e9038a2a54241780342bdf1a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0005303",
    "kind": "arxiv",
    "version": 1
  }
}