Pith Number

pith:AM2OLDSJ

pith:2007:AM2OLDSJ2GWLMFD3TSI4FILU3B

not attested not anchored not stored refs pending

Linear growth of the trace anomaly in Yang-Mills thermodynamics

Francesco Giacosa, Ralf Hofmann

arxiv:hep-th/0703127 v2 · 2007-03-14 · 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{AM2OLDSJ2GWLMFD3TSI4FILU3B}

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	2026-07-04T15:22:12.394931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0334e58e49d1acb6147b9c91c2a174d87cca5ca6da53ad422aff1c11542005aa

Aliases

arxiv: hep-th/0703127 · arxiv_version: hep-th/0703127v2 · doi: 10.48550/arxiv.hep-th/0703127 · pith_short_12: AM2OLDSJ2GWL · pith_short_16: AM2OLDSJ2GWLMFD3 · pith_short_8: AM2OLDSJ

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/AM2OLDSJ2GWLMFD3TSI4FILU3B \
  | 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: 0334e58e49d1acb6147b9c91c2a174d87cca5ca6da53ad422aff1c11542005aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32007821c1123d7826224292d1c0a2192312940c3c149bd3a1b106ea6dc30a10",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-03-14T10:52:02Z",
    "title_canon_sha256": "e05b78307771928e59ea2bcdafc32f759334ad90386e0c3d59672f5510826771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0703127",
    "kind": "arxiv",
    "version": 2
  }
}