Pith Number

pith:JTBMX5QA

pith:2011:JTBMX5QATI4MP4XP3LMPUNLSSA

not attested not anchored not stored refs pending

Entropy and periodic orbits for equivalent smooth flows

Gang Liao, Wenxiang Sun

arxiv:1111.0111 v1 · 2011-11-01 · 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{JTBMX5QATI4MP4XP3LMPUNLSSA}

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	2026-05-18T02:25:11.601562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cc2cbf6009a38c7f2efdad8fa3572902ea44c097f514345e0b92cd3e9b2d6cc

Aliases

arxiv: 1111.0111 · arxiv_version: 1111.0111v1 · doi: 10.48550/arxiv.1111.0111 · pith_short_12: JTBMX5QATI4M · pith_short_16: JTBMX5QATI4MP4XP · pith_short_8: JTBMX5QA

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/JTBMX5QATI4MP4XP3LMPUNLSSA \
  | 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: 4cc2cbf6009a38c7f2efdad8fa3572902ea44c097f514345e0b92cd3e9b2d6cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4ef301da8eb11594d5fc906d74e4d262253c98f1c143e2eb0c1029d4059537e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-01T04:43:07Z",
    "title_canon_sha256": "455474cee5c08f7e3cccac7f1a55147afbd8c4f3fb39618ae2044bdc791f3c95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0111",
    "kind": "arxiv",
    "version": 1
  }
}