Pith Number

pith:NRQ6JQMP

pith:2013:NRQ6JQMPYUAQAABUBUT3CXRF4C

not attested not anchored not stored refs pending

A Gauss-Bonnet formula for moduli spaces of Riemann surfaces

Enrico Leuzinger

arxiv:1312.5077 v1 · 2013-12-18 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRQ6JQMPYUAQAABUBUT3CXRF4C}

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	2026-05-18T03:04:16.396792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c61e4c18fc5010000340d27b15e25e0ae686b78fe978f73eceb4bfd8ade0b84

Aliases

arxiv: 1312.5077 · arxiv_version: 1312.5077v1 · doi: 10.48550/arxiv.1312.5077 · pith_short_12: NRQ6JQMPYUAQ · pith_short_16: NRQ6JQMPYUAQAABU · pith_short_8: NRQ6JQMP

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/NRQ6JQMPYUAQAABUBUT3CXRF4C \
  | 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: 6c61e4c18fc5010000340d27b15e25e0ae686b78fe978f73eceb4bfd8ade0b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48deb39f015b44ca1e0134ef1e49e5acaa8dbe613139cd7618522027959ecf4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-18T09:48:12Z",
    "title_canon_sha256": "207c085acab009eec3f0d9021d8497e77118ae3d3975812c0404906fe6d9af83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5077",
    "kind": "arxiv",
    "version": 1
  }
}