Pith Number

pith:3MMNZTNG

pith:2012:3MMNZTNGDY4PBJLFOFGCDN4LXE

not attested not anchored not stored refs pending

Entrainment of Chaos

Marat Akhmet, Mehmet Onur Fen

arxiv:1209.1765 v1 · 2012-09-09 · nlin.CD · 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{3MMNZTNGDY4PBJLFOFGCDN4LXE}

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	2026-05-18T03:45:54.432494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db18dccda61e38f0a565714c21b78bb90c90dc4858f70501785bb33db59f5ada

Aliases

arxiv: 1209.1765 · arxiv_version: 1209.1765v1 · doi: 10.48550/arxiv.1209.1765 · pith_short_12: 3MMNZTNGDY4P · pith_short_16: 3MMNZTNGDY4PBJLF · pith_short_8: 3MMNZTNG

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/3MMNZTNGDY4PBJLFOFGCDN4LXE \
  | 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: db18dccda61e38f0a565714c21b78bb90c90dc4858f70501785bb33db59f5ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3a346d23eea0b07b98ee52ca34f6093defeb591e9073f2c3f16f197cd491a39",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2012-09-09T01:05:00Z",
    "title_canon_sha256": "dcc76f3b1c7422630ab3d558543e49f6d5f8b96c19906d993963634b5f171258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1765",
    "kind": "arxiv",
    "version": 1
  }
}