Pith Number

pith:GFDOBGXA

pith:2011:GFDOBGXAF3OVYMY72YDCMYNFRP

not attested not anchored not stored refs pending

Nonlinear second order oscillators off resonance at certain functional spaces

Adolfo Arroyo-Rabasa

arxiv:1108.1221 v3 · 2011-08-04 · 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{GFDOBGXAF3OVYMY72YDCMYNFRP}

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	2026-05-18T01:11:00.680398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3146e09ae02edd5c331fd6062661a58be1990e21403bb450529d37ef77712754

Aliases

arxiv: 1108.1221 · arxiv_version: 1108.1221v3 · doi: 10.48550/arxiv.1108.1221 · pith_short_12: GFDOBGXAF3OV · pith_short_16: GFDOBGXAF3OVYMY7 · pith_short_8: GFDOBGXA

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/GFDOBGXAF3OVYMY72YDCMYNFRP \
  | 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: 3146e09ae02edd5c331fd6062661a58be1990e21403bb450529d37ef77712754

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6264423e6aa39dd6a0e08251860629761b60e64f0e2f5ef34d09140609d1959",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-08-04T21:06:36Z",
    "title_canon_sha256": "d23e2e1e2c98cb49867044cb8e4b1131b61c319ce1ebf31f088d3dd3d1031502"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1221",
    "kind": "arxiv",
    "version": 3
  }
}