Pith Number

pith:DMUPIHCD

pith:2012:DMUPIHCDTSHULNC3N6OFBRBJSA

not attested not anchored not stored refs pending

Dyck's surfaces, systoles, and capacities

Mikhail G. Katz, Stephane Sabourau

arxiv:1205.0188 v4 · 2012-05-01 · math.DG · 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{DMUPIHCDTSHULNC3N6OFBRBJSA}

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	2026-05-18T03:21:54.137052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b28f41c439c8f45b45b6f9c50c429900d5ebd8edf3a49cf3c04d82ba190c4f2

Aliases

arxiv: 1205.0188 · arxiv_version: 1205.0188v4 · doi: 10.48550/arxiv.1205.0188 · pith_short_12: DMUPIHCDTSHU · pith_short_16: DMUPIHCDTSHULNC3 · pith_short_8: DMUPIHCD

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/DMUPIHCDTSHULNC3N6OFBRBJSA \
  | 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: 1b28f41c439c8f45b45b6f9c50c429900d5ebd8edf3a49cf3c04d82ba190c4f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54b79da213b7d3f206b1e329351190e0001a905444e72f3dac09a94d5b37d1d3",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-01T15:07:37Z",
    "title_canon_sha256": "8014d57f29d18ce9a324b5226fe82b96a560261d347e5d8838a3a8e9480b00fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0188",
    "kind": "arxiv",
    "version": 4
  }
}