Pith Number

pith:4N4UMLT7

pith:2014:4N4UMLT7W77DZKQ4H2PKCANREU

not attested not anchored not stored refs pending

Minimal rays on surfaces of genus greater than one -- Part II

Jan Philipp Schr\"oder

arxiv:1409.1813 v1 · 2014-09-05 · 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{4N4UMLT7W77DZKQ4H2PKCANREU}

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	2026-05-18T02:43:25.152403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e379462e7fb7fe3caa1c3e9ea101b1251c24b1780e53757890651bc2d9eb37b1

Aliases

arxiv: 1409.1813 · arxiv_version: 1409.1813v1 · doi: 10.48550/arxiv.1409.1813 · pith_short_12: 4N4UMLT7W77D · pith_short_16: 4N4UMLT7W77DZKQ4 · pith_short_8: 4N4UMLT7

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/4N4UMLT7W77DZKQ4H2PKCANREU \
  | 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: e379462e7fb7fe3caa1c3e9ea101b1251c24b1780e53757890651bc2d9eb37b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05715003415131f43a91a07449b64b6661621d6a08ba0686a9a9799afbf7e819",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-09-05T14:11:46Z",
    "title_canon_sha256": "2d74520f99d6c32f572180242f084d0c75888d342356732c18c57e6fc41657a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1813",
    "kind": "arxiv",
    "version": 1
  }
}