Pith Number

pith:U6MZX2S2

pith:2010:U6MZX2S2KGHAWCRYDWNDYM2WXX

not attested not anchored not stored refs pending

Gibbs measure for the periodic derivative nonlinear Schr\"odinger equation

Laurent Thomann (LMJL), Nikolay Tzvetkov (AGM)

arxiv:1001.4269 v3 · 2010-01-24 · 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{U6MZX2S2KGHAWCRYDWNDYM2WXX}

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	2026-05-18T04:40:30.743203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7999bea5a518e0b0a381d9a3c3356bdfaa6dc40f5f06cc92a7af27efdc33af3

Aliases

arxiv: 1001.4269 · arxiv_version: 1001.4269v3 · doi: 10.48550/arxiv.1001.4269 · pith_short_12: U6MZX2S2KGHA · pith_short_16: U6MZX2S2KGHAWCRY · pith_short_8: U6MZX2S2

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/U6MZX2S2KGHAWCRYDWNDYM2WXX \
  | 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: a7999bea5a518e0b0a381d9a3c3356bdfaa6dc40f5f06cc92a7af27efdc33af3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d74ade9bb356f0961c1c09b65c3e9fe70dce686471fc498d881eb8a449077d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-01-24T19:38:27Z",
    "title_canon_sha256": "fa366fc8c0c49e664733fd29cce32da827449437cb4fd65e43d9f29ec8f80b8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4269",
    "kind": "arxiv",
    "version": 3
  }
}