Pith Number

pith:BCLSE6CC

pith:2018:BCLSE6CCRC7CTWAY7EJWLUXNOF

not attested not anchored not stored refs pending

Graphs in perturbation theory: Algebraic structure and asymptotics

Michael Borinsky

arxiv:1807.02046 v1 · 2018-07-05 · hep-th · math-ph · math.CO · 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{BCLSE6CCRC7CTWAY7EJWLUXNOF}

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

1 paper in Pith

Univariate Real Analysis

Receipt and verification

First computed	2026-05-18T00:11:24.372299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

089722784288be29d818f91365d2ed7158e7d8f81fd953a627f7b640a5b469d8

Aliases

arxiv: 1807.02046 · arxiv_version: 1807.02046v1 · doi: 10.48550/arxiv.1807.02046 · pith_short_12: BCLSE6CCRC7C · pith_short_16: BCLSE6CCRC7CTWAY · pith_short_8: BCLSE6CC

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/BCLSE6CCRC7CTWAY7EJWLUXNOF \
  | 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: 089722784288be29d818f91365d2ed7158e7d8f81fd953a627f7b640a5b469d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f74ecc07d5b2d61c08a05a1711247a4b616da190ed86eac98f8ad980df204b2",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-07-05T15:09:52Z",
    "title_canon_sha256": "b507b10b7d8afd92dfdf0c18935807778586330c467a66eed2e59839e1d32950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02046",
    "kind": "arxiv",
    "version": 1
  }
}