Pith Number

pith:AU72RVGH

pith:2019:AU72RVGH7P6JBFBPBQUWIXRGHC

not attested not anchored not stored refs pending

Integral of two-loop modular graph functions

Eric D'Hoker

arxiv:1905.06217 v2 · 2019-05-15 · 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{AU72RVGH7P6JBFBPBQUWIXRGHC}

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	2026-05-17T23:43:32.616235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

053fa8d4c7fbfc90942f0c29645e263895cdcff4ec1e07f259e9260b2ed12d0f

Aliases

arxiv: 1905.06217 · arxiv_version: 1905.06217v2 · doi: 10.48550/arxiv.1905.06217 · pith_short_12: AU72RVGH7P6J · pith_short_16: AU72RVGH7P6JBFBP · pith_short_8: AU72RVGH

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/AU72RVGH7P6JBFBPBQUWIXRGHC \
  | 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: 053fa8d4c7fbfc90942f0c29645e263895cdcff4ec1e07f259e9260b2ed12d0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31ed0f066ca06a4d60993bedb57e3446c74340c34b610a615bcf0676ece220f5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-05-15T14:44:03Z",
    "title_canon_sha256": "6adf9a949ba919a103ee27f6047432ed51aaf08cc20f2be7e22c4a2d8b0a1ced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06217",
    "kind": "arxiv",
    "version": 2
  }
}