Pith Number

pith:JWHZDVQM

pith:2013:JWHZDVQMIZ7UABYCHWA6UZYV45

not attested not anchored not stored refs pending

Weak periodic solutions of $x\ddot{x} + 1 = 0$ and the harmonic balance method

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

arxiv:1311.7025 v1 · 2013-11-27 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWHZDVQMIZ7UABYCHWA6UZYV45}

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	2026-05-18T03:06:04.309392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d8f91d60c467f4007023d81ea6715e759ab04ffc34cba7e717d39d47e8386df

Aliases

arxiv: 1311.7025 · arxiv_version: 1311.7025v1 · doi: 10.48550/arxiv.1311.7025 · pith_short_12: JWHZDVQMIZ7U · pith_short_16: JWHZDVQMIZ7UABYC · pith_short_8: JWHZDVQM

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/JWHZDVQMIZ7UABYCHWA6UZYV45 \
  | 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: 4d8f91d60c467f4007023d81ea6715e759ab04ffc34cba7e717d39d47e8386df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29aab5f2165350a8e901e5f445930ae52477d7ca471c69d5401c721c7d6ab987",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-27T16:09:35Z",
    "title_canon_sha256": "48b047c6944473941fd0c7e5ec3ed3ebae425ba789c8db9cd901a2b5a345e07a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7025",
    "kind": "arxiv",
    "version": 1
  }
}