Pith Number

pith:H4VXZADY

pith:2024:H4VXZADY54AALA7BQ577QPTZG2

not attested not anchored not stored refs pending

Trees, trunks, and branches -- bifurcation structure of time-periodic solutions to $u_{tt}-u_{xx}\pm u^{3}=0$

Filip Ficek, Maciej Maliborski

arxiv:2408.05158 v2 · 2024-08-09 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4VXZADY54AALA7BQ577QPTZG2}

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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.

Cited by

1 paper in Pith

Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder

Receipt and verification

First computed	2026-07-05T09:59:50.959409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f2b7c8078ef000583e1877ff83e7936bdf217a0ae4dec4117ed6c9f83a5b372

Aliases

arxiv: 2408.05158 · arxiv_version: 2408.05158v2 · doi: 10.48550/arxiv.2408.05158 · pith_short_12: H4VXZADY54AA · pith_short_16: H4VXZADY54AALA7B · pith_short_8: H4VXZADY

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/H4VXZADY54AALA7BQ577QPTZG2 \
  | 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: 3f2b7c8078ef000583e1877ff83e7936bdf217a0ae4dec4117ed6c9f83a5b372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a84be12eb063c5763a97fa4749e9aad0f6c9bb65294c75f6c5cda153334052d4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-08-09T16:29:26Z",
    "title_canon_sha256": "20fee64ff6a4248785304361b9950135e8247582429628b8b74fa301719552d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.05158",
    "kind": "arxiv",
    "version": 2
  }
}