Pith Number

pith:TVQ5WMS5

pith:2015:TVQ5WMS5TRM6SWHRD3HILO2DQL

not attested not anchored not stored refs pending

Dispersion Estimates for One-Dimensional Discrete Dirac Equations

Elena Kopylova, Gerald Teschl

arxiv:1507.02126 v2 · 2015-07-08 · math.SP · 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{TVQ5WMS5TRM6SWHRD3HILO2DQL}

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	2026-05-18T01:27:23.181713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d61db325d9c59e958f11ece85bb4382dab2778119897efd4722c678994a75c4

Aliases

arxiv: 1507.02126 · arxiv_version: 1507.02126v2 · doi: 10.48550/arxiv.1507.02126 · pith_short_12: TVQ5WMS5TRM6 · pith_short_16: TVQ5WMS5TRM6SWHR · pith_short_8: TVQ5WMS5

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/TVQ5WMS5TRM6SWHRD3HILO2DQL \
  | 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: 9d61db325d9c59e958f11ece85bb4382dab2778119897efd4722c678994a75c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "842ade1d4c2b99b0e37b9301780e005eb6ddc48b12736da55fa21fc2097c351a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-07-08T12:40:41Z",
    "title_canon_sha256": "318d95969daee07d5badfd0e0c799affaa0a7d89a5de9326f1736e3c39bb11f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02126",
    "kind": "arxiv",
    "version": 2
  }
}