Pith Number

pith:4BNBKY5X

pith:2001:4BNBKY5XVNBFXTOSS47H3QU57J

not attested not anchored not stored refs pending

Two-point function reduction of four-point amputated functions and transformations in $F\bar{F}$ and RA basis in a real-time finite temperature NJL model

Bang-Rong Zhou (Department of Physics, Beijing), Graduate School of the Chinese Academy of Sciences

arxiv:hep-th/0111029 v2 · 2001-11-04 · 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{4BNBKY5XVNBFXTOSS47H3QU57J}

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	2026-05-18T00:25:46.267896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e05a1563b7ab425bcdd2973e7dc29dfa7d5440efecb57225a0a05fde4acd92d2

Aliases

arxiv: hep-th/0111029 · arxiv_version: hep-th/0111029v2 · doi: 10.48550/arxiv.hep-th/0111029 · pith_short_12: 4BNBKY5XVNBF · pith_short_16: 4BNBKY5XVNBFXTOS · pith_short_8: 4BNBKY5X

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/4BNBKY5XVNBFXTOSS47H3QU57J \
  | 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: e05a1563b7ab425bcdd2973e7dc29dfa7d5440efecb57225a0a05fde4acd92d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff7c0e86764033e335bc064c08901a467f31913cda365eedde15c37707036778",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-11-04T03:02:40Z",
    "title_canon_sha256": "94525128272aabc46e2488c0f07f28f14af4c33e9aa7498d67539d695ad3f466"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0111029",
    "kind": "arxiv",
    "version": 2
  }
}