Pith Number

pith:MOO7RNMW

pith:2006:MOO7RNMWC2DQJZ3IM2DUP2P7KP

not attested not anchored not stored refs pending

Admissible Transformations and Normalized Classes of Nonlinear Schroedinger Equations

Homayoon Eshraghi, Michael Kunzinger, Roman O. Popovych

arxiv:math-ph/0611061 v4 · 2006-11-23 · math-ph · cond-mat.other · math.AP · 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{MOO7RNMWC2DQJZ3IM2DUP2P7KP}

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	2026-05-18T04:37:21.008719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

639df8b596168704e768668747e9ff53d7486450523b2e2b6424e2db28e61b9e

Aliases

arxiv: math-ph/0611061 · arxiv_version: math-ph/0611061v4 · doi: 10.48550/arxiv.math-ph/0611061 · pith_short_12: MOO7RNMWC2DQ · pith_short_16: MOO7RNMWC2DQJZ3I · pith_short_8: MOO7RNMW

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/MOO7RNMWC2DQJZ3IM2DUP2P7KP \
  | 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: 639df8b596168704e768668747e9ff53d7486450523b2e2b6424e2db28e61b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb5e53f798bab5e282777cfb2507bc4441bb11af100ab19a7b65321a0cb876e1",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2006-11-23T14:46:28Z",
    "title_canon_sha256": "9eaaccba5d6306f228bef989f91458a9c9363ac3ae6c447500043c31bccd5fd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0611061",
    "kind": "arxiv",
    "version": 4
  }
}