Pith Number

pith:7H7USSJI

pith:2003:7H7USSJI7SOFAS6TEIMNNVJG5Q

not attested not anchored not stored refs pending

Analytical approach to nonperturbative Yang-Mills thermodynamics

Ralf Hofmann

arxiv:hep-ph/0312046 v2 · 2003-12-03 · 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{7H7USSJI7SOFAS6TEIMNNVJG5Q}

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	2026-07-04T14:28:53.851736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9ff494928fc9c504bd32218d6d526ec00d52f005c427c9bad08d377c5f6860c

Aliases

arxiv: hep-ph/0312046 · arxiv_version: hep-ph/0312046v2 · doi: 10.48550/arxiv.hep-ph/0312046 · pith_short_12: 7H7USSJI7SOF · pith_short_16: 7H7USSJI7SOFAS6T · pith_short_8: 7H7USSJI

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/7H7USSJI7SOFAS6TEIMNNVJG5Q \
  | 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: f9ff494928fc9c504bd32218d6d526ec00d52f005c427c9bad08d377c5f6860c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8f6204158d561b82bb494c9c5c8e413700aeeff23f5f6bdcb0402d1a3478950",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-12-03T11:30:05Z",
    "title_canon_sha256": "c4adb37e6b969058f59b66050d1bd973848314d3696eb4a9efdce217f29d22fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0312046",
    "kind": "arxiv",
    "version": 2
  }
}