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Pith Number

pith:M2UP46MW

pith:2013:M2UP46MWWO6FTU2WQQARLYOC25
not attested not anchored not stored refs pending

Talbot effect for the cubic nonlinear Schr\"odinger equation on the torus

M. B. Erdogan, N. Tzirakis

arxiv:1303.3604 v1 · 2013-03-14 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{M2UP46MWWO6FTU2WQQARLYOC25}

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 2026-05-18T03:30:53.002085Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

66a8fe7996b3bc59d356840115e1c2d76daccf896d7974988e1affb81c2be01b

Aliases

arxiv: 1303.3604 · arxiv_version: 1303.3604v1 · doi: 10.48550/arxiv.1303.3604 · pith_short_12: M2UP46MWWO6F · pith_short_16: M2UP46MWWO6FTU2W · pith_short_8: M2UP46MW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/M2UP46MWWO6FTU2WQQARLYOC25 \
  | 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: 66a8fe7996b3bc59d356840115e1c2d76daccf896d7974988e1affb81c2be01b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "942356b6146a9de92c6e84d6932852f263db5e499386b1d11cf0dc33eff9ebe2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-14T20:50:28Z",
    "title_canon_sha256": "b7b766451a09df5839409615f0d31bd11be49783423e9798ace10af8d3f6864e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3604",
    "kind": "arxiv",
    "version": 1
  }
}