Pith Number

pith:4JHZX5IV

pith:2011:4JHZX5IVKBHGXNFZRL2CGRN6HG

not attested not anchored not stored refs pending

The Templates of Nonsingular Smale Flows on Three Manifolds

Bin Yu

arxiv:1103.2189 v1 · 2011-03-11 · 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{4JHZX5IVKBHGXNFZRL2CGRN6HG}

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	2026-05-18T02:22:30.491345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e24f9bf515504e6bb4b98af42345be3989c0a7cfcc6a1e1cd3b1a7286dfc9f36

Aliases

arxiv: 1103.2189 · arxiv_version: 1103.2189v1 · doi: 10.48550/arxiv.1103.2189 · pith_short_12: 4JHZX5IVKBHG · pith_short_16: 4JHZX5IVKBHGXNFZ · pith_short_8: 4JHZX5IV

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/4JHZX5IVKBHGXNFZRL2CGRN6HG \
  | 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: e24f9bf515504e6bb4b98af42345be3989c0a7cfcc6a1e1cd3b1a7286dfc9f36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9e3873f982a62ef936adfdc3951e69ae0f6a5f34dfe993dd6ae441618e3c7f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-03-11T02:32:41Z",
    "title_canon_sha256": "cbdc34500b0d2a25a6077c646a74b82f12aa2781814da3356c58e4f88538b9b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2189",
    "kind": "arxiv",
    "version": 1
  }
}