Pith Number

pith:DAQJTRHA

pith:2012:DAQJTRHAMKMD762J42IVB3W4PK

not attested not anchored not stored refs pending

Long-time dynamics of completely integrable Schr\"odinger flows on the torus

Clotilde Fermanian-Kammerer, Fabricio Maci\`a, Nalini Anantharaman

arxiv:1211.1518 v1 · 2012-11-07 · 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{DAQJTRHAMKMD762J42IVB3W4PK}

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	2026-05-18T03:41:20.810485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

182099c4e062983ffb49e69150eedc7aa10071c09c572dbbf1641a486757c18e

Aliases

arxiv: 1211.1518 · arxiv_version: 1211.1518v1 · doi: 10.48550/arxiv.1211.1518 · pith_short_12: DAQJTRHAMKMD · pith_short_16: DAQJTRHAMKMD762J · pith_short_8: DAQJTRHA

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/DAQJTRHAMKMD762J42IVB3W4PK \
  | 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: 182099c4e062983ffb49e69150eedc7aa10071c09c572dbbf1641a486757c18e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05b329dbac944b65915f5cfc1d88c320d45daf2db7045730e683bab2b31e9c18",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-07T12:03:59Z",
    "title_canon_sha256": "698d1cca159e9c0c5100a510de9ebb80c321e8e537870be097959ead29e51c31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1518",
    "kind": "arxiv",
    "version": 1
  }
}