Pith Number

pith:COZOHE2H

pith:2008:COZOHE2H5P4UZ2KB2MCESHAD7L

not attested not anchored not stored refs pending

On sensitive dependence on initial conditions and existence of physical measure for 3-flows

Vitor Araujo

arxiv:0804.3616 v3 · 2008-04-22 · 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{COZOHE2H5P4UZ2KB2MCESHAD7L}

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	2026-05-18T02:56:33.130812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13b2e39347ebf94ce941d304491c03fae64d72ce1b12d5dc070c3dd8f4d28b77

Aliases

arxiv: 0804.3616 · arxiv_version: 0804.3616v3 · doi: 10.48550/arxiv.0804.3616 · pith_short_12: COZOHE2H5P4U · pith_short_16: COZOHE2H5P4UZ2KB · pith_short_8: COZOHE2H

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/COZOHE2H5P4UZ2KB2MCESHAD7L \
  | 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: 13b2e39347ebf94ce941d304491c03fae64d72ce1b12d5dc070c3dd8f4d28b77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e82eca3f1fe2caee309bc2ecc28fb4c6e13e99d8d7547f317e6a203b10a370",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-04-22T22:38:30Z",
    "title_canon_sha256": "16079ed59fdf85b6e34fa41c5654467c15099068842228b48dfc38967711fe51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3616",
    "kind": "arxiv",
    "version": 3
  }
}