Pith Number

pith:BH2PJS3F

pith:2012:BH2PJS3FEBHFKXJ6BXYAA5ZQ5K

not attested not anchored not stored refs pending

Maximum Decay Rate for the Nonlinear Schr\"odinger Equation

LJLL), Pascal B\'egout (IMT

arxiv:1207.2032 v2 · 2012-07-09 · 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{BH2PJS3FEBHFKXJ6BXYAA5ZQ5K}

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	2026-05-18T03:51:15.392149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09f4f4cb65204e555d3e0df0007730eabdad810e42c4e05ef8c1e383ede02fa0

Aliases

arxiv: 1207.2032 · arxiv_version: 1207.2032v2 · doi: 10.48550/arxiv.1207.2032 · pith_short_12: BH2PJS3FEBHF · pith_short_16: BH2PJS3FEBHFKXJ6 · pith_short_8: BH2PJS3F

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/BH2PJS3FEBHFKXJ6BXYAA5ZQ5K \
  | 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: 09f4f4cb65204e555d3e0df0007730eabdad810e42c4e05ef8c1e383ede02fa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "130a23e4d00acb9a3e6e974ed3a98e2c6702b4e5da9ffddb55c9c32b2058b1b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-09T13:13:19Z",
    "title_canon_sha256": "db058d7d732bca90fb83d0fe57d3af7256e0e99d82fcf2bf295c2c48c7364b93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2032",
    "kind": "arxiv",
    "version": 2
  }
}