Pith Number

pith:UGMWK72O

pith:2016:UGMWK72OROYR2OVXPQRBXX7643

not attested not anchored not stored refs pending

Periodic orbits of the ABC flow with $A=B=C=1$

Andrej Zlato\v{s}, Jack Xin, Yifeng Yu

arxiv:1601.02724 v1 · 2016-01-12 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGMWK72OROYR2OVXPQRBXX7643}

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	2026-05-18T01:22:59.885397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a199657f4e8bb11d3ab77c221bdffee6f3b8a944b6aae84ab8a250400d2a9ba1

Aliases

arxiv: 1601.02724 · arxiv_version: 1601.02724v1 · doi: 10.48550/arxiv.1601.02724 · pith_short_12: UGMWK72OROYR · pith_short_16: UGMWK72OROYR2OVX · pith_short_8: UGMWK72O

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/UGMWK72OROYR2OVXPQRBXX7643 \
  | 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: a199657f4e8bb11d3ab77c221bdffee6f3b8a944b6aae84ab8a250400d2a9ba1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffe4abcbb7656d69b662da4423b86337f7e8f4563cfc584bce22d60853014d14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-12T04:20:40Z",
    "title_canon_sha256": "8660fcbce178bb8474ebabe5cbfab6220dccc7c68dfcb9c9c8c23169a4c05cc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02724",
    "kind": "arxiv",
    "version": 1
  }
}