Pith Number

pith:7X7W7E6L

pith:2025:7X7W7E6LO5EHLWSU4UTE6EABAJ

not attested not anchored not stored refs pending

Cauchy problem and dependency analysis for logarithmic Schr\"odinger equation on waveguide manifold

Hichem Hajaiej, Jun Wang, Zhaoyang Yin

arxiv:2505.23403 v2 · 2025-05-29 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7X7W7E6LO5EHLWSU4UTE6EABAJ}

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	2026-07-05T11:28:36.783865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdff6f93cb774875da54e5264f1001025fd6e4b9e703ca5157a338848a28f4d9

Aliases

arxiv: 2505.23403 · arxiv_version: 2505.23403v2 · doi: 10.48550/arxiv.2505.23403 · pith_short_12: 7X7W7E6LO5EH · pith_short_16: 7X7W7E6LO5EHLWSU · pith_short_8: 7X7W7E6L

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/7X7W7E6LO5EHLWSU4UTE6EABAJ \
  | 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: fdff6f93cb774875da54e5264f1001025fd6e4b9e703ca5157a338848a28f4d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d258d9e45f57ba58ffd1114c6fef3d83ea73c8af57a5209427e8323b22b52af",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-29T12:46:03Z",
    "title_canon_sha256": "3a340b9f13d1830403509406f81057c7ccf8875f5ad70f5adb7ba2726468eea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23403",
    "kind": "arxiv",
    "version": 2
  }
}