Pith Number

pith:F52UGF55

pith:2014:F52UGF556SRESXUEV4VLTI3ZY3

not attested not anchored not stored refs pending

Minimal rays on surfaces of genus greater than one

Jan Philipp Schr\"oder

arxiv:1404.0573 v1 · 2014-04-02 · math.DS · 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{F52UGF556SRESXUEV4VLTI3ZY3}

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	2026-05-18T02:55:03.034112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f754317bdf4a2495e84af2ab9a379c6e9fbbccd57566c4e285e8a143fe2c079

Aliases

arxiv: 1404.0573 · arxiv_version: 1404.0573v1 · doi: 10.48550/arxiv.1404.0573 · pith_short_12: F52UGF556SRE · pith_short_16: F52UGF556SRESXUE · pith_short_8: F52UGF55

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/F52UGF556SRESXUEV4VLTI3ZY3 \
  | 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: 2f754317bdf4a2495e84af2ab9a379c6e9fbbccd57566c4e285e8a143fe2c079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45618c1bde7d50048ba1d88d0b537c3f132fe21fe8461bf5b69896007219fda1",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-04-02T14:41:58Z",
    "title_canon_sha256": "adce931c7c33bb79454404b4e5e888f0d429f7f2ce8c21c0167136295a2c3b13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0573",
    "kind": "arxiv",
    "version": 1
  }
}