Pith Number

pith:EYJ2H56H

pith:2001:EYJ2H56HWZ2SSP2DUGO446JUMW

not attested not anchored not stored refs pending

Stable Directions for Excited States of Nonlinear Schr\"odinger Equations

Horng-Tzer Yau, Tai-Peng Tsai

arxiv:math-ph/0110037 v2 · 2001-10-31 · 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{EYJ2H56HWZ2SSP2DUGO446JUMW}

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	2026-05-18T01:05:32.040093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2613a3f7c7b675293f43a19dce793465bccd8e0a76a182783a445538192b499a

Aliases

arxiv: math-ph/0110037 · arxiv_version: math-ph/0110037v2 · doi: 10.48550/arxiv.math-ph/0110037 · pith_short_12: EYJ2H56HWZ2S · pith_short_16: EYJ2H56HWZ2SSP2D · pith_short_8: EYJ2H56H

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/EYJ2H56HWZ2SSP2DUGO446JUMW \
  | 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: 2613a3f7c7b675293f43a19dce793465bccd8e0a76a182783a445538192b499a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28079127304eb96f545a7ad0eef7089e9b0df2f47b206502e471ef7661b8af03",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-10-31T02:10:05Z",
    "title_canon_sha256": "7b53cdbc0ae9e5f403ffd818661d930c9ff0688849e8fcf7d3b6172fce3e1d72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0110037",
    "kind": "arxiv",
    "version": 2
  }
}