Pith Number

pith:GXGJLGEU

pith:2026:GXGJLGEUPK7QEJP2IIVLAOAAZR

not attested not anchored not stored refs pending

Approximation of solutions of the sinh-Gordon equation $\Delta u -\sinh(2u)=0$ by hyperbolic orthogonal ring patterns

Ulrike B\"ucking

arxiv:2607.14348 v1 · 2026-07-15 · math.MG · math.AP · 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{GXGJLGEUPK7QEJP2IIVLAOAAZR}

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	2026-07-17T00:21:06.913063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35cc9598947abf0225fa422ab03800cc6ed840d80dbbb7eea2d81879ee77f076

Aliases

arxiv: 2607.14348 · arxiv_version: 2607.14348v1 · doi: 10.48550/arxiv.2607.14348 · pith_short_12: GXGJLGEUPK7Q · pith_short_16: GXGJLGEUPK7QEJP2 · pith_short_8: GXGJLGEU

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/GXGJLGEUPK7QEJP2IIVLAOAAZR \
  | 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: 35cc9598947abf0225fa422ab03800cc6ed840d80dbbb7eea2d81879ee77f076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c4b205bc281d8257bbea27d71f74f6a13594fe5e53528e744637c95cc8a268e",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-07-15T20:23:49Z",
    "title_canon_sha256": "b2122606879b981c564abfd0c7a4283ff4fb2d1fe02637c188aec223bd7410ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14348",
    "kind": "arxiv",
    "version": 1
  }
}