Pith Number

pith:FXR4R2FX

pith:2015:FXR4R2FX7D2JGZSFCH7FNA6BW3

not attested not anchored not stored refs pending

About embedded quarters and points at infinity in the hyperbolic plane

Maurice Margenstern

arxiv:1507.08495 v1 · 2015-07-30 · cs.CG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXR4R2FX7D2JGZSFCH7FNA6BW3}

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	2026-05-18T01:36:04.332901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2de3c8e8b7f8f493664511fe5683c1b6fa121f6c74839cca3b38ace6fc5ecf1a

Aliases

arxiv: 1507.08495 · arxiv_version: 1507.08495v1 · doi: 10.48550/arxiv.1507.08495 · pith_short_12: FXR4R2FX7D2J · pith_short_16: FXR4R2FX7D2JGZSF · pith_short_8: FXR4R2FX

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/FXR4R2FX7D2JGZSFCH7FNA6BW3 \
  | 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: 2de3c8e8b7f8f493664511fe5683c1b6fa121f6c74839cca3b38ace6fc5ecf1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2de96e842e6a7960a6cb2a69553c01655c94b726fab67572f4fd48088cee8e7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-07-30T13:33:05Z",
    "title_canon_sha256": "c9a9e9b9087be2b62c066a2b8ef0388df12030201a3d7f4fbbe73db3e20612a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08495",
    "kind": "arxiv",
    "version": 1
  }
}