Pith Number

pith:RERJPUOG

pith:2014:RERJPUOGNVWITLKXGAMJ4DMBWJ

not attested not anchored not stored refs pending

Dispersion Estimates for One-dimensional Discrete Schr\"odinger and Wave Equations

Elena Kopylova, Gerald Teschl, Iryna Egorova

arxiv:1403.7803 v3 · 2014-03-30 · math.SP · math-ph · math.AP · 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{RERJPUOGNVWITLKXGAMJ4DMBWJ}

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	2026-05-18T01:24:11.286470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

892297d1c66d6c89ad5730189e0d81b245c9c4887690700e90e289445653cdcd

Aliases

arxiv: 1403.7803 · arxiv_version: 1403.7803v3 · doi: 10.48550/arxiv.1403.7803 · pith_short_12: RERJPUOGNVWI · pith_short_16: RERJPUOGNVWITLKX · pith_short_8: RERJPUOG

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/RERJPUOGNVWITLKXGAMJ4DMBWJ \
  | 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: 892297d1c66d6c89ad5730189e0d81b245c9c4887690700e90e289445653cdcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c78beaa7357899ad9cce0517d7b9d4d1c97d39e7aa73a7700ec0605efa003534",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-03-30T19:31:21Z",
    "title_canon_sha256": "206fe65a260665f1744b0c0691220563e0a1afcc6ab14b72dbeb1fa286f44a31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7803",
    "kind": "arxiv",
    "version": 3
  }
}