Pith Number

pith:464A2C2X

pith:2011:464A2C2XYHNV5ENIFVINBWQ7FB

not attested not anchored not stored refs pending

On Epsilon Expansions of Four-loop Non-planar Massless Propagator Diagrams

A.V. Smirnov, R.N. Lee, V.A. Smirnov

arxiv:1103.3409 v2 · 2011-03-17 · hep-th · hep-ph · 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{464A2C2XYHNV5ENIFVINBWQ7FB}

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	2026-05-18T04:15:28.222620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7b80d0b57c1db5e91a82d50d0da1f284831a5e02f5f5a2142cc76f622703cf9

Aliases

arxiv: 1103.3409 · arxiv_version: 1103.3409v2 · doi: 10.48550/arxiv.1103.3409 · pith_short_12: 464A2C2XYHNV · pith_short_16: 464A2C2XYHNV5ENI · pith_short_8: 464A2C2X

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/464A2C2XYHNV5ENIFVINBWQ7FB \
  | 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: e7b80d0b57c1db5e91a82d50d0da1f284831a5e02f5f5a2142cc76f622703cf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f89f49e01e560b2af9d7d3d6660c9200aa0043afb3ed2c0137d8bb976acf4e6",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-03-17T13:47:36Z",
    "title_canon_sha256": "a1a1a66acb74be9f5e09449b50f7e22592e7f4cb1d4d03a0019f1293517e8d91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3409",
    "kind": "arxiv",
    "version": 2
  }
}