Pith Number

pith:6S5E3JA4

pith:2013:6S5E3JA4R6ZQYJQBZ7DSL242WC

not attested not anchored not stored refs pending

Aspects of the planetary Birkhoff normal form

Gabriella Pinzari

arxiv:1310.0181 v3 · 2013-10-01 · 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{6S5E3JA4R6ZQYJQBZ7DSL242WC}

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	2026-05-18T01:47:17.559941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4ba4da41c8fb30c2601cfc725eb9ab0851bb337db7f85e333310511efb11bb1

Aliases

arxiv: 1310.0181 · arxiv_version: 1310.0181v3 · doi: 10.48550/arxiv.1310.0181 · pith_short_12: 6S5E3JA4R6ZQ · pith_short_16: 6S5E3JA4R6ZQYJQB · pith_short_8: 6S5E3JA4

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/6S5E3JA4R6ZQYJQBZ7DSL242WC \
  | 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: f4ba4da41c8fb30c2601cfc725eb9ab0851bb337db7f85e333310511efb11bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9441e3f8bd330623e17426cacb9cfffc850a1cc84ec34b4810ba6483779f58bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-10-01T08:24:59Z",
    "title_canon_sha256": "fb86d039e6d7abbbb9e170027468a1ea9b15f2a21508c825a95b04db247730ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0181",
    "kind": "arxiv",
    "version": 3
  }
}