Pith Number

pith:T6YSAW2E

pith:2006:T6YSAW2EB2TP3EJMVDCM7PMKMF

not attested not anchored not stored refs pending

Loop expansion in Yang-Mills thermodynamics

Ralf Hofmann

arxiv:hep-th/0609033 v5 · 2006-09-05 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6YSAW2EB2TP3EJMVDCM7PMKMF}

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	2026-05-18T01:38:45.334680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fb1205b440ea6fd912ca8c4cfbd8a617ec93678811a4ac2db41e2aec28250f9

Aliases

arxiv: hep-th/0609033 · arxiv_version: hep-th/0609033v5 · doi: 10.48550/arxiv.hep-th/0609033 · pith_short_12: T6YSAW2EB2TP · pith_short_16: T6YSAW2EB2TP3EJM · pith_short_8: T6YSAW2E

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/T6YSAW2EB2TP3EJMVDCM7PMKMF \
  | 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: 9fb1205b440ea6fd912ca8c4cfbd8a617ec93678811a4ac2db41e2aec28250f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96e36a7e548e9bdde36842a7c2b46d0c6137408099c9a14ab989adebd46e0978",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2006-09-05T12:51:37Z",
    "title_canon_sha256": "524a792dfb8b33970d646b1b9f8069ab5c57b37b34cac81ed935f6b37758dd67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0609033",
    "kind": "arxiv",
    "version": 5
  }
}