Pith Number

pith:Z3YOY5KM

pith:2019:Z3YOY5KMJVNLGP7LJ3RYRL67CK

not attested not anchored not stored refs pending

Modular graph functions and asymptotic expansions of Poincar\'e series

Axel Kleinschmidt, Daniele Dorigoni

arxiv:1903.09250 v2 · 2019-03-21 · 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{Z3YOY5KMJVNLGP7LJ3RYRL67CK}

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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

A construction of single-valued elliptic polylogarithms

Receipt and verification

First computed	2026-07-05T00:33:11.421954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cef0ec754c4d5ab33feb4ee388afdf12b4625e8a8c17147caa05dd195ecbc1b5

Aliases

arxiv: 1903.09250 · arxiv_version: 1903.09250v2 · doi: 10.48550/arxiv.1903.09250 · pith_short_12: Z3YOY5KMJVNL · pith_short_16: Z3YOY5KMJVNLGP7L · pith_short_8: Z3YOY5KM

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/Z3YOY5KMJVNLGP7LJ3RYRL67CK \
  | 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: cef0ec754c4d5ab33feb4ee388afdf12b4625e8a8c17147caa05dd195ecbc1b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0370fa90e1f0324910d40c30cc29e34a94841129df2ea61e8f6acbf8b8997ae5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-03-21T21:54:24Z",
    "title_canon_sha256": "4fe8ad3c0810318966f7bbf27e434a05d4d73a78389cb7cd60dca6ce25b545b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09250",
    "kind": "arxiv",
    "version": 2
  }
}