Pith Number

pith:JC4Q6RNQ

pith:2016:JC4Q6RNQIOPNJAQ4C52RTPE23F

not attested not anchored not stored refs pending

SU(2) Yang-Mills Theory: Waves, Particles, and Quantum Thermodynamics

Ralf Hofmann

arxiv:1604.05136 v1 · 2016-04-14 · physics.gen-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{JC4Q6RNQIOPNJAQ4C52RTPE23F}

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	2026-05-18T01:07:56.664568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48b90f45b0439ed4821c177519bc9ad95d183ed6167420bd1b1bca41a2ff5fea

Aliases

arxiv: 1604.05136 · arxiv_version: 1604.05136v1 · doi: 10.48550/arxiv.1604.05136 · pith_short_12: JC4Q6RNQIOPN · pith_short_16: JC4Q6RNQIOPNJAQ4 · pith_short_8: JC4Q6RNQ

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/JC4Q6RNQIOPNJAQ4C52RTPE23F \
  | 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: 48b90f45b0439ed4821c177519bc9ad95d183ed6167420bd1b1bca41a2ff5fea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "888c62decaa7625e296a4a7602824895ccd87fd20bbdef4f91fe288de11fb13e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2016-04-14T12:46:06Z",
    "title_canon_sha256": "781fbd5e469f7abd1e13ba4dc02dfbafeaf28c6c58aec806a823ced1b51ade96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05136",
    "kind": "arxiv",
    "version": 1
  }
}