Pith Number

pith:VD6WCJ6B

pith:2004:VD6WCJ6BZVOEO5OMFUGM7ZW63P

not attested not anchored not stored refs pending

A Hyperbolic Surface With A Square Grid Net

Lukas Geyer, Sergei Merenkov

arxiv:math/0409560 v3 · 2004-09-28 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VD6WCJ6BZVOEO5OMFUGM7ZW63P}

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	2026-05-18T02:54:54.624209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8fd6127c1cd5c4775cc2d0ccfe6dedbf3e3fdcecfe90a8b6307233ede596614

Aliases

arxiv: math/0409560 · arxiv_version: math/0409560v3 · doi: 10.48550/arxiv.math/0409560 · pith_short_12: VD6WCJ6BZVOE · pith_short_16: VD6WCJ6BZVOEO5OM · pith_short_8: VD6WCJ6B

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/VD6WCJ6BZVOEO5OMFUGM7ZW63P \
  | 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: a8fd6127c1cd5c4775cc2d0ccfe6dedbf3e3fdcecfe90a8b6307233ede596614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a52b1fa455c973ba5a8ffbde91677afced5f36d2803d26730826213d3090114",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2004-09-28T19:01:42Z",
    "title_canon_sha256": "bcc119e31ce315372250fec26cb9359a90a6c88201873d963546c531037ce8c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409560",
    "kind": "arxiv",
    "version": 3
  }
}