Pith Number

pith:JQE6PB6M

pith:2013:JQE6PB6MC3J3FVBYZE6RCGCIFS

not attested not anchored not stored refs pending

High-energy and smoothness asymptotic expansion of the scattering amplitude for the Dirac equation and applications

Ivan Naumkin, Ricardo Weder

arxiv:1312.0623 v1 · 2013-12-02 · 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{JQE6PB6MC3J3FVBYZE6RCGCIFS}

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	2026-05-18T01:18:04.797132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c09e787cc16d3b2d438c93d1118482c871aa3be1c3781fd289e200ab4d8a7bc

Aliases

arxiv: 1312.0623 · arxiv_version: 1312.0623v1 · doi: 10.48550/arxiv.1312.0623 · pith_short_12: JQE6PB6MC3J3 · pith_short_16: JQE6PB6MC3J3FVBY · pith_short_8: JQE6PB6M

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/JQE6PB6MC3J3FVBYZE6RCGCIFS \
  | 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: 4c09e787cc16d3b2d438c93d1118482c871aa3be1c3781fd289e200ab4d8a7bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f06841c7d4a3c0cc580ef48d7cc109f2526621f7ff1b9e6a03814c630691d350",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-02T21:08:51Z",
    "title_canon_sha256": "74bd459e2609abd5888a60a3cae5f22cc3215918966a5ffb292068b12e22288c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0623",
    "kind": "arxiv",
    "version": 1
  }
}