Pith Number

pith:K45SLOKD

pith:2017:K45SLOKDRQEY2CEV5LCIGYLIRW

not attested not anchored not stored refs pending

The maximum number of systoles for genus two Riemann surfaces with abelian differentials

Chris Judge, Hugo Parlier

arxiv:1703.01809 v6 · 2017-03-06 · math.GT · 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{K45SLOKDRQEY2CEV5LCIGYLIRW}

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	2026-05-17T23:48:47.819280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

573b25b9438c098d0895eac48361688d816b56b1f2b10f35600666e30cd24cde

Aliases

arxiv: 1703.01809 · arxiv_version: 1703.01809v6 · doi: 10.48550/arxiv.1703.01809 · pith_short_12: K45SLOKDRQEY · pith_short_16: K45SLOKDRQEY2CEV · pith_short_8: K45SLOKD

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/K45SLOKDRQEY2CEV5LCIGYLIRW \
  | 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: 573b25b9438c098d0895eac48361688d816b56b1f2b10f35600666e30cd24cde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3061ccd16cf9f2d3d6db23abfaa29ed077a9b3e1c7546a16b1383091909821ca",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-03-06T10:55:29Z",
    "title_canon_sha256": "702761f5898515773b14af7dab1f2b8137d2c8fb35c08b39b3280ab15d8a20f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01809",
    "kind": "arxiv",
    "version": 6
  }
}