Pith Number

pith:EO5VXK4Q

pith:2006:EO5VXK4QRRLS5IGXT2U2FCXSGK

not attested not anchored not stored refs pending

WKB analysis for nonlinear Schr\"{o}dinger equations with potential

R\'emi Carles (MAB)

arxiv:math/0601611 v2 · 2006-01-25 · 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{EO5VXK4QRRLS5IGXT2U2FCXSGK}

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	2026-05-18T01:08:50.600674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23bb5bab908c572ea0d79ea9a28af232b91f25238701d88fd36d075b99f619a8

Aliases

arxiv: math/0601611 · arxiv_version: math/0601611v2 · doi: 10.48550/arxiv.math/0601611 · pith_short_12: EO5VXK4QRRLS · pith_short_16: EO5VXK4QRRLS5IGX · pith_short_8: EO5VXK4Q

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/EO5VXK4QRRLS5IGXT2U2FCXSGK \
  | 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: 23bb5bab908c572ea0d79ea9a28af232b91f25238701d88fd36d075b99f619a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df9d7ef068f1e11912dba83defe73dad14bb1f2a16daf49e3dd5f8a59bf4c5b1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-01-25T13:38:52Z",
    "title_canon_sha256": "8a35b5a224da603ff76ea2a87436fd01461a87f3451d48a5ff257f3147311ba4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601611",
    "kind": "arxiv",
    "version": 2
  }
}