Pith Number

pith:PPHLHZBG

pith:1995:PPHLHZBGBRFILOSHAOFD4T4R4C

not attested not anchored not stored refs pending

Knots and Numbers in $\phi^4$ Theory to 7 Loops and Beyond

D.J. Broadhurst, D. Kreimer

arxiv:hep-ph/9504352 v1 · 1995-04-21 · hep-ph · hep-th · math.QA · q-alg

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPHLHZBGBRFILOSHAOFD4T4R4C}

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

3 papers in Pith

HyperFORM -- a FORM package for parametric integration with hyperlogarithms

Tropicalized quantum field theory and global tropical sampling

Graphical Functions by Examples

Receipt and verification

First computed	2026-07-04T15:59:06.105345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bceb3e4260c4a85ba47038a3e4f91e0a0bbb5080aeebb697e380333258c2802

Aliases

arxiv: hep-ph/9504352 · arxiv_version: hep-ph/9504352v1 · doi: 10.48550/arxiv.hep-ph/9504352 · pith_short_12: PPHLHZBGBRFI · pith_short_16: PPHLHZBGBRFILOSH · pith_short_8: PPHLHZBG

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/PPHLHZBGBRFILOSHAOFD4T4R4C \
  | 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: 7bceb3e4260c4a85ba47038a3e4f91e0a0bbb5080aeebb697e380333258c2802

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "398d5f0a8cd38b4665597ae2abdc8852b3fc59580fcee02fc3ea88db50638e0f",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA",
      "q-alg"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1995-04-21T14:27:00Z",
    "title_canon_sha256": "8ff3dc7b6ba2aaf8067619b75bd0a014c3f1b82e0f4d702b715d052f6fd1b3f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9504352",
    "kind": "arxiv",
    "version": 1
  }
}