Pith Number

pith:OET32B4X

pith:2011:OET32B4XUCYN7UUT3MH4PNEHLO

not attested not anchored not stored refs pending

On the continuum limit for discrete NLS with long-range lattice interactions

Enno Lenzmann, Gigliola Staffilani, Kay Kirkpatrick

arxiv:1108.6136 v2 · 2011-08-31 · 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{OET32B4XUCYN7UUT3MH4PNEHLO}

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	2026-05-18T02:00:44.230112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7127bd0797a0b0dfd293db0fc7b4875bbcc8d707a0c7d7efe7fba46b56ec4ba9

Aliases

arxiv: 1108.6136 · arxiv_version: 1108.6136v2 · doi: 10.48550/arxiv.1108.6136 · pith_short_12: OET32B4XUCYN · pith_short_16: OET32B4XUCYN7UUT · pith_short_8: OET32B4X

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/OET32B4XUCYN7UUT3MH4PNEHLO \
  | 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: 7127bd0797a0b0dfd293db0fc7b4875bbcc8d707a0c7d7efe7fba46b56ec4ba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c331955bcd0ed035644a678577fc8d2e5ab492cbeefd714a7026cdbe229ba26",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-31T07:08:22Z",
    "title_canon_sha256": "364508118cb84b122425e6edb2fd0fc36b4f733bb098619357436d1f00e7ac26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6136",
    "kind": "arxiv",
    "version": 2
  }
}