Pith Number

pith:TPPHNPZM

pith:2025:TPPHNPZMTQ6M4ONQ6NSZJVCIJL

not attested not anchored not stored refs pending

Reduction of Feynman Integrals in the Parametric Representation IV: Integrals with Irregular Integration Regions

Wen Chen

arxiv:2508.18419 v1 · 2025-08-25 · hep-ph · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPPHNPZMTQ6M4ONQ6NSZJVCIJL}

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	2026-07-05T11:59:23.948243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bde76bf2c9c3cce39b0f36594d4484ad82391317529a8649b7525234729e302

Aliases

arxiv: 2508.18419 · arxiv_version: 2508.18419v1 · doi: 10.48550/arxiv.2508.18419 · pith_short_12: TPPHNPZMTQ6M · pith_short_16: TPPHNPZMTQ6M4ONQ · pith_short_8: TPPHNPZM

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/TPPHNPZMTQ6M4ONQ6NSZJVCIJL \
  | 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: 9bde76bf2c9c3cce39b0f36594d4484ad82391317529a8649b7525234729e302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ee1c50cf12df071782ccae24f6668354404ef8c4ca8fdc499f8343686671b14",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-08-25T19:10:03Z",
    "title_canon_sha256": "2013b775a4ce3dac09e9ca4f19f04623e1f9f8ff79b70d2b874106429eaa2efd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.18419",
    "kind": "arxiv",
    "version": 1
  }
}