Pith Number

pith:5D4K572S

pith:2022:5D4K572SSSYBL4HMUCJ3VKAV7S

not attested not anchored not stored refs pending

To the cusp and back: Resurgent analysis for modular graph functions

Axel Kleinschmidt, Daniele Dorigoni, Rudolfs Treilis

arxiv:2208.14087 v1 · 2022-08-30 · 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{5D4K572SSSYBL4HMUCJ3VKAV7S}

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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

Modular Features of Superstring Scattering Amplitudes: Generalised Eisenstein Series and Theta Lifts

Receipt and verification

First computed	2026-07-05T05:20:46.309363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8f8aeff5294b015f0eca093baa815fc9415eb7c824c2b1759c1c499d2a88de0

Aliases

arxiv: 2208.14087 · arxiv_version: 2208.14087v1 · doi: 10.48550/arxiv.2208.14087 · pith_short_12: 5D4K572SSSYB · pith_short_16: 5D4K572SSSYBL4HM · pith_short_8: 5D4K572S

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/5D4K572SSSYBL4HMUCJ3VKAV7S \
  | 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: e8f8aeff5294b015f0eca093baa815fc9415eb7c824c2b1759c1c499d2a88de0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bc0049965d41704260d42d218d819a846ae7b44c15955e6ba6950c1fa24da01",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-08-30T09:07:41Z",
    "title_canon_sha256": "7b2ac863070d5a2441b35349bcc7892ad7116e080da329e6538f17289a338f2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.14087",
    "kind": "arxiv",
    "version": 1
  }
}