Pith Number

pith:4ZBPWD4H

pith:2012:4ZBPWD4HTESU4U7EVRRWNJUKMU

not attested not anchored not stored refs pending

Topological chaos, braiding and bifurcation of almost-cyclic sets

Mark A. Stremler, Pankaj Kumar, Piyush Grover, Shane D. Ross

arxiv:1206.2321 v2 · 2012-06-11 · nlin.CD

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZBPWD4HTESU4U7EVRRWNJUKMU}

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	2026-05-18T03:39:05.060474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e642fb0f8799254e53e4ac6366a68a651470f4f9eb943d88c2a2320889d0dc17

Aliases

arxiv: 1206.2321 · arxiv_version: 1206.2321v2 · doi: 10.48550/arxiv.1206.2321 · pith_short_12: 4ZBPWD4HTESU · pith_short_16: 4ZBPWD4HTESU4U7E · pith_short_8: 4ZBPWD4H

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/4ZBPWD4HTESU4U7EVRRWNJUKMU \
  | 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: e642fb0f8799254e53e4ac6366a68a651470f4f9eb943d88c2a2320889d0dc17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ba119a3a4285e1e2be7c1b95325b792c0dcd3b494f4569e0158e21660040b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2012-06-11T19:08:56Z",
    "title_canon_sha256": "685bd3319ac7fd2962bd45964967373563143329ffc1d4683d845f0b1cc77ab6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2321",
    "kind": "arxiv",
    "version": 2
  }
}