Pith Number

pith:HIRNXPWO

pith:2012:HIRNXPWOATXS53KNNUPMNGVLO4

not attested not anchored not stored refs pending

Numerical evaluation of multi-loop integrals for arbitrary kinematics with SecDec 2.0

Gudrun Heinrich, Jonathon Carter, Sophia Borowka

arxiv:1204.4152 v2 · 2012-04-18 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HIRNXPWOATXS53KNNUPMNGVLO4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

1 paper in Pith

Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations

Receipt and verification

First computed	2026-05-18T02:21:16.204436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a22dbbece04ef2eed4d6d1ec69aab771e96f7fdc9df16c1411794def0adc713

Aliases

arxiv: 1204.4152 · arxiv_version: 1204.4152v2 · doi: 10.48550/arxiv.1204.4152 · pith_short_12: HIRNXPWOATXS · pith_short_16: HIRNXPWOATXS53KN · pith_short_8: HIRNXPWO

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/HIRNXPWOATXS53KNNUPMNGVLO4 \
  | 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: 3a22dbbece04ef2eed4d6d1ec69aab771e96f7fdc9df16c1411794def0adc713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21d028d7b9fc154975020240044241ec982575e2ef1f25f10fe46e39b24b3467",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-04-18T18:04:37Z",
    "title_canon_sha256": "73e22f5be29fc6a704ba49db031084de82e573a091c25308216c76a0cb1a171f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4152",
    "kind": "arxiv",
    "version": 2
  }
}