Pith Number

pith:72HMT7XC

pith:2014:72HMT7XCHIH3LU7TENEZNPMNHD

not attested not anchored not stored refs pending

On the Schr\"odinger equations with isotropic and anisotropic fourth-order dispersion

Carlos Banquet, Elder J. Villamizar-Roa

arxiv:1402.2193 v2 · 2014-02-10 · 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{72HMT7XCHIH3LU7TENEZNPMNHD}

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	2026-05-18T01:15:59.260785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe8ec9fee23a0fb5d3f3234996bd8d38e0c7948342fb14b13675f9e983c9859f

Aliases

arxiv: 1402.2193 · arxiv_version: 1402.2193v2 · doi: 10.48550/arxiv.1402.2193 · pith_short_12: 72HMT7XCHIH3 · pith_short_16: 72HMT7XCHIH3LU7T · pith_short_8: 72HMT7XC

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/72HMT7XCHIH3LU7TENEZNPMNHD \
  | 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: fe8ec9fee23a0fb5d3f3234996bd8d38e0c7948342fb14b13675f9e983c9859f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "461aad410d419268c2244c18046be9db89f6524213040977f2e84c980bb6c14a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-10T16:05:26Z",
    "title_canon_sha256": "266d72c4e9c0cf52074ed09e7b8c1e776dada01d45ab31e7dba40948e8ca02d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2193",
    "kind": "arxiv",
    "version": 2
  }
}