Pith Number

pith:7A2DE3Y7

pith:2013:7A2DE3Y7AA3THBNX4HK2ONWD3T

not attested not anchored not stored refs pending

Chaotic motion of three-body problem : an origin of macroscopic randomness of the universe

Shijun Liao

arxiv:1304.2089 v1 · 2013-04-08 · 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{7A2DE3Y7AA3THBNX4HK2ONWD3T}

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	2026-05-18T02:51:23.424002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f834326f1f00373385b7e1d5a736c3dcd56c885f323655cd9fe5a43c5a4d1927

Aliases

arxiv: 1304.2089 · arxiv_version: 1304.2089v1 · doi: 10.48550/arxiv.1304.2089 · pith_short_12: 7A2DE3Y7AA3T · pith_short_16: 7A2DE3Y7AA3THBNX · pith_short_8: 7A2DE3Y7

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/7A2DE3Y7AA3THBNX4HK2ONWD3T \
  | 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: f834326f1f00373385b7e1d5a736c3dcd56c885f323655cd9fe5a43c5a4d1927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "552e02a37a88bfc265d73ff962b85c3f33c9ed4ed0b3c210109e548a830a7d6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2013-04-08T02:50:46Z",
    "title_canon_sha256": "6515dcb5b855a150597fb27c4b1771b59f4d477e835171b627e14ee6320554e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2089",
    "kind": "arxiv",
    "version": 1
  }
}