Pith Number

pith:FZFIXPWR

pith:2014:FZFIXPWRMJ5LHRZF7DAMCLBZRD

not attested not anchored not stored refs pending

The Dispersion property for Schr\"odinger equations

Liviu I. Ignat

arxiv:1411.5659 v1 · 2014-11-20 · 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{FZFIXPWRMJ5LHRZF7DAMCLBZRD}

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	2026-05-18T02:33:24.160841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e4a8bbed1627ab3c725f8c0c12c3988c84ada2aa30e7e984b5f72ba248298e0

Aliases

arxiv: 1411.5659 · arxiv_version: 1411.5659v1 · doi: 10.48550/arxiv.1411.5659 · pith_short_12: FZFIXPWRMJ5L · pith_short_16: FZFIXPWRMJ5LHRZF · pith_short_8: FZFIXPWR

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/FZFIXPWRMJ5LHRZF7DAMCLBZRD \
  | 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: 2e4a8bbed1627ab3c725f8c0c12c3988c84ada2aa30e7e984b5f72ba248298e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "030705b853540022a1a7ac92c0fd0c9cbb5a9d4e8614b7ef5101b39605e65673",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-20T20:03:26Z",
    "title_canon_sha256": "ea3625dda9fd8044d6d5b36c4f55c34ba458fbd0ef67216e63f8c5e9030179ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5659",
    "kind": "arxiv",
    "version": 1
  }
}