Pith Number

pith:WG23M4A3

pith:2012:WG23M4A3INRNYRQQ5463PGQDP5

not attested not anchored not stored refs pending

Hyperellipticity and Systoles of Klein Surfaces

Mikhail G. Katz, Stephane Sabourau

arxiv:1201.0361 v1 · 2012-01-01 · math.DG · math.CV · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WG23M4A3INRNYRQQ5463PGQDP5}

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	2026-05-18T04:05:25.422553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1b5b6701b4362dc4610ef3db79a037f58d61a7162dc025acaaf3e1acdc61140

Aliases

arxiv: 1201.0361 · arxiv_version: 1201.0361v1 · doi: 10.48550/arxiv.1201.0361 · pith_short_12: WG23M4A3INRN · pith_short_16: WG23M4A3INRNYRQQ · pith_short_8: WG23M4A3

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/WG23M4A3INRNYRQQ5463PGQDP5 \
  | 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: b1b5b6701b4362dc4610ef3db79a037f58d61a7162dc025acaaf3e1acdc61140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b79a75c3698037ed530f0ad9d262501d907f9518076bc74c18926ca03a966088",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-01T16:16:38Z",
    "title_canon_sha256": "71a98ccdf89849ac4e9435edb29624d617a201a6eb0a9845325daa9764653ee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0361",
    "kind": "arxiv",
    "version": 1
  }
}