Pith Number

pith:NWOZCRFZ

pith:2007:NWOZCRFZT56RKWDGGXFJGSWG5J

not attested not anchored not stored refs pending

Resolution of singularities for multi-loop integrals

Christian Bogner, Stefan Weinzierl

arxiv:0709.4092 v2 · 2007-09-26 · 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{NWOZCRFZT56RKWDGGXFJGSWG5J}

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

2 papers in Pith

New algorithms for Feynman integral reduction and $\varepsilon$-factorised differential equations

SubTropica

Receipt and verification

First computed	2026-07-04T15:27:47.541203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d9d9144b99f7d15586635ca934ac6ea742bbb71c8e44d2187d771a7d3473e8a

Aliases

arxiv: 0709.4092 · arxiv_version: 0709.4092v2 · doi: 10.48550/arxiv.0709.4092 · pith_short_12: NWOZCRFZT56R · pith_short_16: NWOZCRFZT56RKWDG · pith_short_8: NWOZCRFZ

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/NWOZCRFZT56RKWDGGXFJGSWG5J \
  | 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: 6d9d9144b99f7d15586635ca934ac6ea742bbb71c8e44d2187d771a7d3473e8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8144a5ae31c22c27a0f34b61f7a5b132fe8a1258536bb1263cd17e239f1cb9c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-09-26T07:46:42Z",
    "title_canon_sha256": "c7113db464e5979f7370a31a6f98eefdb2b7b950c0ebd1b48c77e78f9efcbcc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4092",
    "kind": "arxiv",
    "version": 2
  }
}