Pith Number

pith:LOXU7K7W

pith:2015:LOXU7K7WZHUQB5HLUCGUM2Y7BG

not attested not anchored not stored refs pending

A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems

J. Zhang, M. Guardia, V. Kaloshin

arxiv:1503.08301 v2 · 2015-03-28 · 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{LOXU7K7WZHUQB5HLUCGUM2Y7BG}

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	2026-05-18T01:08:21.315722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5baf4fabf6c9e900f4eba08d466b1f09a5dff4b809dc8370869677edb19c86d3

Aliases

arxiv: 1503.08301 · arxiv_version: 1503.08301v2 · doi: 10.48550/arxiv.1503.08301 · pith_short_12: LOXU7K7WZHUQ · pith_short_16: LOXU7K7WZHUQB5HL · pith_short_8: LOXU7K7W

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/LOXU7K7WZHUQB5HLUCGUM2Y7BG \
  | 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: 5baf4fabf6c9e900f4eba08d466b1f09a5dff4b809dc8370869677edb19c86d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86a40c8dcfb5fa9bc5e14d8ffea1b2cf2830802c9443c87e03c84f38a59ead01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-28T13:23:45Z",
    "title_canon_sha256": "8e967083f55be158441d3386df22603888249a7afacd8bd7a9246f622a562ab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08301",
    "kind": "arxiv",
    "version": 2
  }
}