Pith Number

pith:U2UXCN3C

pith:2007:U2UXCN3CVNIRDQAI3OEUVAMKN4

not attested not anchored not stored refs pending

SU(2) Yang-Mills thermodynamics and photon physics

Ralf Hofmann

arxiv:0710.1169 v1 · 2007-10-05 · hep-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{U2UXCN3CVNIRDQAI3OEUVAMKN4}

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	2026-07-04T15:04:43.455707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6a9713762ab5111c008db894a818a6f3b9114cd9a2f365a10974a87d6787c29

Aliases

arxiv: 0710.1169 · arxiv_version: 0710.1169v1 · doi: 10.48550/arxiv.0710.1169 · pith_short_12: U2UXCN3CVNIR · pith_short_16: U2UXCN3CVNIRDQAI · pith_short_8: U2UXCN3C

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/U2UXCN3CVNIRDQAI3OEUVAMKN4 \
  | 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: a6a9713762ab5111c008db894a818a6f3b9114cd9a2f365a10974a87d6787c29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3be2ffe4b560de0ac13f7a9b9181d4d37a5f46851fa96c8c97b721fa6950e97a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-10-05T10:06:01Z",
    "title_canon_sha256": "5e775fdef14bee4348c729549c69ad8e3c0250c578fbf6e4dba2a9654b7fbcff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.1169",
    "kind": "arxiv",
    "version": 1
  }
}