Pith Number

pith:NBYBZ7RX

pith:2013:NBYBZ7RXL7SAZII6HNKEJXIAJF

not attested not anchored not stored refs pending

Focusing Quantum Many-body Dynamics: The Rigorous Derivation of the 1D Focusing Cubic Nonlinear Schr\"odinger Equation

Justin Holmer, Xuwen Chen

arxiv:1308.3895 v2 · 2013-08-18 · 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{NBYBZ7RXL7SAZII6HNKEJXIAJF}

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	2026-05-18T01:16:35.279985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68701cfe375fe40ca11e3b5444dd00496aaff8dbcf27b19a4fdd0f43ddd330b8

Aliases

arxiv: 1308.3895 · arxiv_version: 1308.3895v2 · doi: 10.48550/arxiv.1308.3895 · pith_short_12: NBYBZ7RXL7SA · pith_short_16: NBYBZ7RXL7SAZII6 · pith_short_8: NBYBZ7RX

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/NBYBZ7RXL7SAZII6HNKEJXIAJF \
  | 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: 68701cfe375fe40ca11e3b5444dd00496aaff8dbcf27b19a4fdd0f43ddd330b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc017684849bc36d1247fe78583caebbbdd8aea26f19fb8df3bb6639f776c2b9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-18T21:33:33Z",
    "title_canon_sha256": "0563223d9cb9a8a84f668457f0ddf63db465af780ea4bf5f1e48e7f12d0a4267"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3895",
    "kind": "arxiv",
    "version": 2
  }
}