Pith Number

pith:GZIHW6KP

pith:2019:GZIHW6KPN7OX6YV56JZN42B4WJ

not attested not anchored not stored refs pending

Reduction of Feynman Integrals in the Parametric Representation II: Reduction of Tensor Integrals

Wen Chen

arxiv:1912.08606 v5 · 2019-12-10 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZIHW6KPN7OX6YV56JZN42B4WJ}

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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

2 papers in Pith

Feynman Integral Reduction without Integration-By-Parts

Emergence of Calabi-Yau manifolds in high-precision black hole scattering

Receipt and verification

First computed	2026-07-05T02:26:26.084627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36507b794f6fdd7f62bdf272de683cb264767362f4635ff1bf4d2e32de69a036

Aliases

arxiv: 1912.08606 · arxiv_version: 1912.08606v5 · doi: 10.48550/arxiv.1912.08606 · pith_short_12: GZIHW6KPN7OX · pith_short_16: GZIHW6KPN7OX6YV5 · pith_short_8: GZIHW6KP

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/GZIHW6KPN7OX6YV56JZN42B4WJ \
  | 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: 36507b794f6fdd7f62bdf272de683cb264767362f4635ff1bf4d2e32de69a036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15297af3f7df179d7b30a14b52ef0904ca28d91d6116a6aef7dc9c1676dc3273",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-12-10T21:57:11Z",
    "title_canon_sha256": "2a5048879e4730c1911297628000cc73d69fea8f88c5819eeaee833893fe0b0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.08606",
    "kind": "arxiv",
    "version": 5
  }
}