Pith Number

pith:GWGZFL76

pith:2017:GWGZFL76FFFQ6JH67IBVJQ7OR2

not attested not anchored not stored refs pending

On dynamics of graph maps with zero topological entropy

Jian Li, Piotr Oprocha, Tiaoying Zeng, Yini Yang

arxiv:1711.01101 v2 · 2017-11-03 · 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{GWGZFL76FFFQ6JH67IBVJQ7OR2}

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	2026-05-18T00:30:57.151106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

358d92affe294b0f24fefa0354c3ee8e94ff5fa89a244921d58d6a7de2f0c1ba

Aliases

arxiv: 1711.01101 · arxiv_version: 1711.01101v2 · doi: 10.48550/arxiv.1711.01101 · pith_short_12: GWGZFL76FFFQ · pith_short_16: GWGZFL76FFFQ6JH6 · pith_short_8: GWGZFL76

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/GWGZFL76FFFQ6JH67IBVJQ7OR2 \
  | 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: 358d92affe294b0f24fefa0354c3ee8e94ff5fa89a244921d58d6a7de2f0c1ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "164234ff2901886aa3886066cc0428012076ef7797a3ac016144721974a8876a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-03T10:54:32Z",
    "title_canon_sha256": "6c73cd155448abc85ca886697c40b061e6006163c2fd33920ce32551d25fcbf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01101",
    "kind": "arxiv",
    "version": 2
  }
}