Pith Number

pith:N4Q2S3P3

pith:2014:N4Q2S3P3E6JYGTBWRAC3IP676O

not attested not anchored not stored refs pending

Asymptotic Freedom, Dimensional Transmutation, and an Infra-red Conformal Fixed Point for the $\delta$-Function Potential in 1-dimensional Relativistic Quantum Mechanics

A. M. Shalaby, M. H. Al-Hashimi, U.-J. Wiese

arxiv:1404.3077 v1 · 2014-04-11 · hep-th · math-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4Q2S3P3E6JYGTBWRAC3IP676O}

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	2026-05-18T01:43:35.399037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f21a96dfb2793834c368805b43fdff39acda09f9e2ed8c89dfe2fbb560c2872

Aliases

arxiv: 1404.3077 · arxiv_version: 1404.3077v1 · doi: 10.48550/arxiv.1404.3077 · pith_short_12: N4Q2S3P3E6JY · pith_short_16: N4Q2S3P3E6JYGTBW · pith_short_8: N4Q2S3P3

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/N4Q2S3P3E6JYGTBWRAC3IP676O \
  | 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: 6f21a96dfb2793834c368805b43fdff39acda09f9e2ed8c89dfe2fbb560c2872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a15cce735bfb0929ff1d76cf3811cdf1012702d47cd5cb50aa516e02376dec7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-04-11T11:31:26Z",
    "title_canon_sha256": "029a38a8e7047d255bdd7f869aa9b9b201f9164bae09e2d87f3b4c21ed93b210"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3077",
    "kind": "arxiv",
    "version": 1
  }
}