Pith Number

pith:77E7HVK5

pith:2015:77E7HVK5PHSMKG5NQKTO3QDAWO

not attested not anchored not stored refs pending

A Theta lift representation for the Kawazumi-Zhang and Faltings invariants of genus-two Riemann surfaces

Boris Pioline (CERN, Geneva, LPTHE, Paris)

arxiv:1504.04182 v4 · 2015-04-16 · hep-th · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77E7HVK5PHSMKG5NQKTO3QDAWO}

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

1 paper in Pith

Towards Motivic Coactions at Genus One from Zeta Generators

Receipt and verification

First computed	2026-05-18T01:21:08.585661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffc9f3d55d79e4c51bad82a6edc060b3aaa2e8cb318e866f2af0113347377f7f

Aliases

arxiv: 1504.04182 · arxiv_version: 1504.04182v4 · doi: 10.48550/arxiv.1504.04182 · pith_short_12: 77E7HVK5PHSM · pith_short_16: 77E7HVK5PHSMKG5N · pith_short_8: 77E7HVK5

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/77E7HVK5PHSMKG5NQKTO3QDAWO \
  | 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: ffc9f3d55d79e4c51bad82a6edc060b3aaa2e8cb318e866f2af0113347377f7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36d9d409b8c67f9cfea0d687e33dbc693a60c041762fbc044785d939f81c949d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-04-16T11:17:11Z",
    "title_canon_sha256": "af43a339a379f9e8747923f156343edadea0f71bad099e2427b772d661874a70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04182",
    "kind": "arxiv",
    "version": 4
  }
}