Pith Number

pith:WCXMZAC6

pith:2019:WCXMZAC6YHCBM4CUZXCKWTFR76

not attested not anchored not stored refs pending

Next-to$^k$ leading log expansions by chord diagrams

Julien Courtiel, Karen Yeats

arxiv:1906.05139 v2 · 2019-06-12 · 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{WCXMZAC6YHCBM4CUZXCKWTFR76}

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

The algebraic structure of Dyson--Schwinger equations with multiple insertion places

Receipt and verification

First computed	2026-07-05T00:48:39.673906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0aecc805ec1c4167054cdc4ab4cb1ffa1a50eb6087a6451cf92fe4ac114c4fd

Aliases

arxiv: 1906.05139 · arxiv_version: 1906.05139v2 · doi: 10.48550/arxiv.1906.05139 · pith_short_12: WCXMZAC6YHCB · pith_short_16: WCXMZAC6YHCBM4CU · pith_short_8: WCXMZAC6

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/WCXMZAC6YHCBM4CUZXCKWTFR76 \
  | 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: b0aecc805ec1c4167054cdc4ab4cb1ffa1a50eb6087a6451cf92fe4ac114c4fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ea0ef1455067b6e5303c0f7620194cc19de0e160ea65ffc96bd3144de78b96d",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-06-12T13:52:52Z",
    "title_canon_sha256": "6df56fc68fccf39a2ed048e362dcf00d33536e7106bfb5b0b6d90b4f152037f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05139",
    "kind": "arxiv",
    "version": 2
  }
}