Pith Number

pith:ZZVBXW62

pith:2000:ZZVBXW62I6YFICFB4MPXZH6LKY

not attested not anchored not stored refs pending

New Developments and Applications of Thermal Field Theory

Markus H. Thoma

arxiv:hep-ph/0010164 v1 · 2000-10-16 · hep-ph · 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{ZZVBXW62I6YFICFB4MPXZH6LKY}

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.

Cited by

1 paper in Pith

Coherent State Path Integral Reveals Unexpected Vacuum Structure in Thermal Field Theory

Receipt and verification

First computed	2026-07-04T14:27:42.881592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce6a1bdbda47b05408a1e31f7c9fcb56387d1492c913aa5e6e42738057c9af6b

Aliases

arxiv: hep-ph/0010164 · arxiv_version: hep-ph/0010164v1 · doi: 10.48550/arxiv.hep-ph/0010164 · pith_short_12: ZZVBXW62I6YF · pith_short_16: ZZVBXW62I6YFICFB · pith_short_8: ZZVBXW62

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/ZZVBXW62I6YFICFB4MPXZH6LKY \
  | 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: ce6a1bdbda47b05408a1e31f7c9fcb56387d1492c913aa5e6e42738057c9af6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd7a065944c522b698d757cd7f3638b92d8ae616df3249e1bf009c84738b328a",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-10-16T15:07:19Z",
    "title_canon_sha256": "46d8f036447ed306afe2326c65863c6513916a2b3670a1cdcebda0bbd1f79de4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0010164",
    "kind": "arxiv",
    "version": 1
  }
}