Pith Number

pith:4AZY3ANA

pith:2018:4AZY3ANAMAAI4F3XHVPZDI2YEQ

not attested not anchored not stored refs pending

Holomorphic subgraph reduction of higher-point modular graph forms

Jan E. Gerken, Justin Kaidi

arxiv:1809.05122 v2 · 2018-09-13 · 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{4AZY3ANAMAAI4F3XHVPZDI2YEQ}

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	2026-05-17T23:53:42.026139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0338d81a060008e17773d5f91a3582411bfba4ab4ea99a2bf749083807e6e15

Aliases

arxiv: 1809.05122 · arxiv_version: 1809.05122v2 · doi: 10.48550/arxiv.1809.05122 · pith_short_12: 4AZY3ANAMAAI · pith_short_16: 4AZY3ANAMAAI4F3X · pith_short_8: 4AZY3ANA

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/4AZY3ANAMAAI4F3XHVPZDI2YEQ \
  | 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: e0338d81a060008e17773d5f91a3582411bfba4ab4ea99a2bf749083807e6e15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8de8962e9d752d4efd8193e08322ce9d425e1e0a675f0ec95934ab5d39883d9e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-09-13T18:14:19Z",
    "title_canon_sha256": "77c063ddf1b947a934ab8dc95994459556617f74b4c46569fa27b9ad463cb2f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05122",
    "kind": "arxiv",
    "version": 2
  }
}