Pith Number

pith:7TDD7BG7

pith:2000:7TDD7BG7U43BDGK6OXB3PKUDRR

not attested not anchored not stored refs pending

Nonequilibrium evolution and symmetry structure of the large-N $\Phi^4$ model at finite temperature

J. Baacke, K. Heitmann

arxiv:hep-ph/0003317 v2 · 2000-03-31 · hep-ph · 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{7TDD7BG7U43BDGK6OXB3PKUDRR}

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	2026-07-04T16:20:05.330946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcc63f84dfa73611995e75c3b7aa838c4701abe47e043cfc99c3654fe392d782

Aliases

arxiv: hep-ph/0003317 · arxiv_version: hep-ph/0003317v2 · doi: 10.48550/arxiv.hep-ph/0003317 · pith_short_12: 7TDD7BG7U43B · pith_short_16: 7TDD7BG7U43BDGK6 · pith_short_8: 7TDD7BG7

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/7TDD7BG7U43BDGK6OXB3PKUDRR \
  | 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: fcc63f84dfa73611995e75c3b7aa838c4701abe47e043cfc99c3654fe392d782

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b49302d20dbafb9c32ed07b03f76098d546e55c3bf9603a2d1ea0ccd492c3b44",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-03-31T13:10:02Z",
    "title_canon_sha256": "aa56f65e152887f1cfd328e1a5cfd05f337b5c1c86350a1ca4eedb6a674c31a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0003317",
    "kind": "arxiv",
    "version": 2
  }
}