Pith Number

pith:2ZIYGZR2

pith:2013:2ZIYGZR2MPJSUFPS63UAJDFOSD

not attested not anchored not stored refs pending

Construction of surfaces with large systolic ratio

Bjoern Muetzel, Hugo Akrout

arxiv:1311.1449 v4 · 2013-11-06 · math.DG · 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{2ZIYGZR2MPJSUFPS63UAJDFOSD}

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	2026-05-18T00:15:38.359440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d65183663a63d32a15f2f6e8048cae90e5d609fdba3b51e99d7d8a3622e22475

Aliases

arxiv: 1311.1449 · arxiv_version: 1311.1449v4 · doi: 10.48550/arxiv.1311.1449 · pith_short_12: 2ZIYGZR2MPJS · pith_short_16: 2ZIYGZR2MPJSUFPS · pith_short_8: 2ZIYGZR2

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/2ZIYGZR2MPJSUFPS63UAJDFOSD \
  | 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: d65183663a63d32a15f2f6e8048cae90e5d609fdba3b51e99d7d8a3622e22475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e67c18f70ccb17c49dfda93de00a2af346661d3caae878913969a02516aa856",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-06T17:12:57Z",
    "title_canon_sha256": "6c940853d7875d6192f9e8de831a9983647e8e0e5da214f874801e74d903409e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1449",
    "kind": "arxiv",
    "version": 4
  }
}