Pith Number

pith:U2CRN4P3

pith:2012:U2CRN4P33CJG6SWHQTDYLZQFLH

not attested not anchored not stored refs pending

A theoretical basis for the Harmonic Balance Method

Armengol Gasull, Johanna D. Garc\'ia-Salda\~na

arxiv:1202.1791 v1 · 2012-02-08 · math.CA · 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{U2CRN4P33CJG6SWHQTDYLZQFLH}

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	2026-05-18T04:02:51.091835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a68516f1fbd8926f4ac784c785e60559ec58cbd419cc3378d7bcb57b714c1a5a

Aliases

arxiv: 1202.1791 · arxiv_version: 1202.1791v1 · doi: 10.48550/arxiv.1202.1791 · pith_short_12: U2CRN4P33CJG · pith_short_16: U2CRN4P33CJG6SWH · pith_short_8: U2CRN4P3

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/U2CRN4P33CJG6SWHQTDYLZQFLH \
  | 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: a68516f1fbd8926f4ac784c785e60559ec58cbd419cc3378d7bcb57b714c1a5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33842d0dfdca57970ba654be783d8d0027c96c01a733bf3077a1885551d26df9",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-08T18:37:47Z",
    "title_canon_sha256": "00e420d909652178b07cae9221f575075b49d90cb9373e13792f21bce34bfbf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1791",
    "kind": "arxiv",
    "version": 1
  }
}