Pith Number

pith:NLREZCUM

pith:1999:NLREZCUMEMBE7YHU5XQ2IQV3ZJ

not attested not anchored not stored refs pending

Diagrammatic approach to soft non-Abelian dynamics at high temperature

Dietrich Bodeker

arxiv:hep-ph/9903478 v2 · 1999-03-24 · hep-ph · hep-th · nucl-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{NLREZCUMEMBE7YHU5XQ2IQV3ZJ}

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	2026-05-18T01:38:56.155567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ae24c8a8c23024fe0f4ede1a442bbca4817b6f127c69482f0421ad3a497134d

Aliases

arxiv: hep-ph/9903478 · arxiv_version: hep-ph/9903478v2 · doi: 10.48550/arxiv.hep-ph/9903478 · pith_short_12: NLREZCUMEMBE · pith_short_16: NLREZCUMEMBE7YHU · pith_short_8: NLREZCUM

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/NLREZCUMEMBE7YHU5XQ2IQV3ZJ \
  | 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: 6ae24c8a8c23024fe0f4ede1a442bbca4817b6f127c69482f0421ad3a497134d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cab7120af7dbde83043eae3dc87900aff3ab7c13f80e1bd4fcb035295a41ec73",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-03-24T20:17:26Z",
    "title_canon_sha256": "180c5e78ace30c59e5007a21dc7cf14a10d89242efcdc80df1d0e38607452ee9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9903478",
    "kind": "arxiv",
    "version": 2
  }
}