Pith Number

pith:XMBQIAXU

pith:2013:XMBQIAXUQEVLNNKPFQLGF2BGVX

not attested not anchored not stored refs pending

Integrability cases for the anharmonic oscillator equation

Francisco S. N. Lobo, M. K. Mak, Tiberiu Harko

arxiv:1304.1468 v1 · 2013-04-03 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMBQIAXUQEVLNNKPFQLGF2BGVX}

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	2026-05-18T03:17:44.296896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb030402f4812ab6b54f2c1662e826ade0b78c9f7b61c1e3db9dfc30a187044b

Aliases

arxiv: 1304.1468 · arxiv_version: 1304.1468v1 · doi: 10.48550/arxiv.1304.1468 · pith_short_12: XMBQIAXUQEVL · pith_short_16: XMBQIAXUQEVLNNKP · pith_short_8: XMBQIAXU

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/XMBQIAXUQEVLNNKPFQLGF2BGVX \
  | 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: bb030402f4812ab6b54f2c1662e826ade0b78c9f7b61c1e3db9dfc30a187044b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ad0e737d19e98e62f490698981f9318dc2dcdffacc2d0940b640001b28e83b3",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-03T12:54:03Z",
    "title_canon_sha256": "7dd7d50f1c58c9c5d7404529e6d09cd387224d6b87f6ce198e40abdaf1aabcb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1468",
    "kind": "arxiv",
    "version": 1
  }
}