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Pith Number

pith:M4T3G7SL

pith:2017:M4T3G7SLIXQJH666VVURCU4TMX
not attested not anchored not stored refs pending

Three-loop massive tadpoles and polylogarithms through weight six

A.F. Pikelner, B.A. Kniehl, O.L. Veretin

arxiv:1705.05136 v3 · 2017-05-15 · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{M4T3G7SLIXQJH666VVURCU4TMX}

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 2026-05-18T00:37:54.379620Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6727b37e4b45e093fbdead6911539365d6f5ea45f37c1ff20b6169455c48fe3c

Aliases

arxiv: 1705.05136 · arxiv_version: 1705.05136v3 · doi: 10.48550/arxiv.1705.05136 · pith_short_12: M4T3G7SLIXQJ · pith_short_16: M4T3G7SLIXQJH666 · pith_short_8: M4T3G7SL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/M4T3G7SLIXQJH666VVURCU4TMX \
  | 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: 6727b37e4b45e093fbdead6911539365d6f5ea45f37c1ff20b6169455c48fe3c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "eba396728e49db41c24a7c8f23cb486e07bb208c46e7b2824dcff35dd7d23259",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-05-15T09:44:21Z",
    "title_canon_sha256": "ade75f721175a3395fde3a0f1c07eed94bc4606b6dfce36edfc61954375d494d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05136",
    "kind": "arxiv",
    "version": 3
  }
}