Pith Number

pith:SDMMUX7C

pith:2021:SDMMUX7C6VIZWKDZ64O45KPIOP

not attested not anchored not stored refs pending

Planar three-loop master integrals for $2 \to 2$ processes with one external massive particle

Dhimiter D. Canko, Nikolaos Syrrakos

arxiv:2112.14275 v2 · 2021-12-28 · 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{SDMMUX7C6VIZWKDZ64O45KPIOP}

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	2026-07-05T04:22:00.782719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90d8ca5fe2f5519b2879f71dcea9e873cef7956fb1b3e29ede0bd0779bf72e6b

Aliases

arxiv: 2112.14275 · arxiv_version: 2112.14275v2 · doi: 10.48550/arxiv.2112.14275 · pith_short_12: SDMMUX7C6VIZ · pith_short_16: SDMMUX7C6VIZWKDZ · pith_short_8: SDMMUX7C

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/SDMMUX7C6VIZWKDZ64O45KPIOP \
  | 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: 90d8ca5fe2f5519b2879f71dcea9e873cef7956fb1b3e29ede0bd0779bf72e6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4ee826b6572851c66dd4919b00970db5070f4183ea39b087face2b401c53f9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-12-28T19:19:40Z",
    "title_canon_sha256": "9d3bb79cd0bff236c3c2f80243973146f07c5f52ddbe16ea48a192019823b5f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14275",
    "kind": "arxiv",
    "version": 2
  }
}