Pith Number

pith:GQKVEOG5

pith:2016:GQKVEOG5KFUNDFM2VOE4YBZZDV

not attested not anchored not stored refs pending

Weighted projective lines and Riemann surfaces

Helmut Lenzing

arxiv:1612.02960 v1 · 2016-12-09 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQKVEOG5KFUNDFM2VOE4YBZZDV}

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	2026-05-18T00:55:27.888207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34155238dd5168d1959aab89cc07391d6a8d69dab16c287e30553cad7ffa1170

Aliases

arxiv: 1612.02960 · arxiv_version: 1612.02960v1 · doi: 10.48550/arxiv.1612.02960 · pith_short_12: GQKVEOG5KFUN · pith_short_16: GQKVEOG5KFUNDFM2 · pith_short_8: GQKVEOG5

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/GQKVEOG5KFUNDFM2VOE4YBZZDV \
  | 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: 34155238dd5168d1959aab89cc07391d6a8d69dab16c287e30553cad7ffa1170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af27ebc3c063a60a24cb1fd99d8ae43cb8acc46e69b2c8f414eb163ed642bf03",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-12-09T10:02:40Z",
    "title_canon_sha256": "97a2efb834f401afc0643eef44bb3186e768680eaaf5ff8205aac55cc33135df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02960",
    "kind": "arxiv",
    "version": 1
  }
}