Pith Number

pith:XE3IZB5I

pith:2026:XE3IZB5IQIV7NKAJYMYSQ45A57

not attested not anchored not stored refs pending

Resurgent Lambert series from Feynman and beyond

Daniele Dorigoni, David Broadhurst

arxiv:2607.14020 v1 · 2026-07-15 · hep-th · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XE3IZB5IQIV7NKAJYMYSQ45A57}

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	2026-07-16T01:23:19.894417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9368c87a8822bf6a809c3312873a0effa70013453f97c3d1793f36b2e2536f1

Aliases

arxiv: 2607.14020 · arxiv_version: 2607.14020v1 · doi: 10.48550/arxiv.2607.14020 · pith_short_12: XE3IZB5IQIV7 · pith_short_16: XE3IZB5IQIV7NKAJ · pith_short_8: XE3IZB5I

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/XE3IZB5IQIV7NKAJYMYSQ45A57 \
  | 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: b9368c87a8822bf6a809c3312873a0effa70013453f97c3d1793f36b2e2536f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99ccd179df4faf2ff045733bd7611f41f5d8a95771cc4ed103371920304b5023",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-15T16:52:52Z",
    "title_canon_sha256": "da55be1d1e92872b815753fc68bc98f82836ce62d26349f519bb74536778b5a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14020",
    "kind": "arxiv",
    "version": 1
  }
}