Pith Number

pith:L3UU37RP

pith:2021:L3UU37RPATGIZRJLOBQLE2YGJP

not attested not anchored not stored refs pending

Poincar\'e series for modular graph forms at depth two. I. Seeds and Laplace systems

Axel Kleinschmidt, Daniele Dorigoni, Oliver Schlotterer

arxiv:2109.05017 v3 · 2021-09-10 · 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{L3UU37RPATGIZRJLOBQLE2YGJP}

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

2 papers in Pith

A thermal representation for conformal ladder integrals

A construction of single-valued elliptic polylogarithms

Receipt and verification

First computed	2026-07-05T03:55:00.777524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ee94dfe2f04cc8cc52b7060b26b064bd444c6c30244251342d6cdcc3926b585

Aliases

arxiv: 2109.05017 · arxiv_version: 2109.05017v3 · doi: 10.48550/arxiv.2109.05017 · pith_short_12: L3UU37RPATGI · pith_short_16: L3UU37RPATGIZRJL · pith_short_8: L3UU37RP

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/L3UU37RPATGIZRJLOBQLE2YGJP \
  | 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: 5ee94dfe2f04cc8cc52b7060b26b064bd444c6c30244251342d6cdcc3926b585

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ed72fe7c007d8e8d900e11b350b258f4338c0d190d32085b5b1d79859cb7b29",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-09-10T17:57:45Z",
    "title_canon_sha256": "0e4ccb57201d70d0230250145e99d29825f3d43a00c8e9bbc2cbe738b3d35d7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.05017",
    "kind": "arxiv",
    "version": 3
  }
}