Pith Number

pith:LAJU7MIZ

pith:2017:LAJU7MIZKJQH35EYJILWGAMEY5

not attested not anchored not stored refs pending

Critical graph of a polynomial quadratic differential related to a Schr\"odinger equation with quartic potential

Faouzi Thabet, Mondher Chouikhi

arxiv:1712.06133 v1 · 2017-12-17 · 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{LAJU7MIZKJQH35EYJILWGAMEY5}

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	2026-05-18T00:27:41.112988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58134fb11952607df4984a17630184c759226485d711e28a5f7d7069fc901f79

Aliases

arxiv: 1712.06133 · arxiv_version: 1712.06133v1 · doi: 10.48550/arxiv.1712.06133 · pith_short_12: LAJU7MIZKJQH · pith_short_16: LAJU7MIZKJQH35EY · pith_short_8: LAJU7MIZ

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/LAJU7MIZKJQH35EYJILWGAMEY5 \
  | 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: 58134fb11952607df4984a17630184c759226485d711e28a5f7d7069fc901f79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca471867486980f71668e48637000b7b6574e0b6492d0960762e1c1dafa1aa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-12-17T16:13:44Z",
    "title_canon_sha256": "1d19cec00ab376405848acc245e411f441714d2a422d7bb394610796baf9d971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06133",
    "kind": "arxiv",
    "version": 1
  }
}