Pith Number

pith:MFFBXNGZ

pith:2011:MFFBXNGZWJSZNNJSF6DW53NUBR

not attested not anchored not stored refs pending

Positive topological entropy implies chaos DC2

Tomasz Downarowicz

arxiv:1110.5201 v1 · 2011-10-24 · 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{MFFBXNGZWJSZNNJSF6DW53NUBR}

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	2026-05-18T04:10:24.444276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

614a1bb4d9b26596b5322f876eedb40c535a456a64250572fb933ffdf7f7d406

Aliases

arxiv: 1110.5201 · arxiv_version: 1110.5201v1 · doi: 10.48550/arxiv.1110.5201 · pith_short_12: MFFBXNGZWJSZ · pith_short_16: MFFBXNGZWJSZNNJS · pith_short_8: MFFBXNGZ

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/MFFBXNGZWJSZNNJSF6DW53NUBR \
  | 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: 614a1bb4d9b26596b5322f876eedb40c535a456a64250572fb933ffdf7f7d406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "477f321f61784feeb95bd67e2f481f2b5a5f3da75ce93446923b95823f0e4ea0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-24T11:19:38Z",
    "title_canon_sha256": "91333ea3211a97a94e5fd3b388a0300223d8fa79a420e3539fac646f889e76a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5201",
    "kind": "arxiv",
    "version": 1
  }
}