Pith Number

pith:VQ7QRTRT

pith:2011:VQ7QRTRTZGNYL2CQ6WP2XMMVYR

not attested not anchored not stored refs pending

Thermal Ground State in Yang-Mills Thermodynamics

Ralf Hofmann

arxiv:1109.5857 v1 · 2011-09-27 · 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{VQ7QRTRTZGNYL2CQ6WP2XMMVYR}

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	2026-05-18T04:12:11.108422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac3f08ce33c99b85e850f59fabb195c44e995a2ac8deb9c7b60794543d2c008d

Aliases

arxiv: 1109.5857 · arxiv_version: 1109.5857v1 · doi: 10.48550/arxiv.1109.5857 · pith_short_12: VQ7QRTRTZGNY · pith_short_16: VQ7QRTRTZGNYL2CQ · pith_short_8: VQ7QRTRT

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/VQ7QRTRTZGNYL2CQ6WP2XMMVYR \
  | 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: ac3f08ce33c99b85e850f59fabb195c44e995a2ac8deb9c7b60794543d2c008d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6482a1ea9ee303731a6b7623c7d7e836ee2ce4a36bab370fed7efaf132445d0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-09-27T12:24:55Z",
    "title_canon_sha256": "e4f1a0f7105658bec2fddddf68034a7d2f49a7ec8cd72c28579fc67bb2dfe21f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5857",
    "kind": "arxiv",
    "version": 1
  }
}