Pith Number

pith:63CXS5ZW

pith:1995:63CXS5ZW6YLDEQDD7WV4KFPRN4

not attested not anchored not stored refs pending

Arithmeticity, Discreteness and Volume

A. W. Reid, C. Maclachlan, F. W. Gehring, G. J. Martin

arxiv:math/9504208 v1 · 1995-04-07 · 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{63CXS5ZW6YLDEQDD7WV4KFPRN4}

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	2026-05-18T01:05:50.287610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6c5797736f616324063fdabc515f16f37b1ed82260608f34fc5d3cb2b3221a5

Aliases

arxiv: math/9504208 · arxiv_version: math/9504208v1 · doi: 10.48550/arxiv.math/9504208 · pith_short_12: 63CXS5ZW6YLD · pith_short_16: 63CXS5ZW6YLDEQDD · pith_short_8: 63CXS5ZW

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/63CXS5ZW6YLDEQDD7WV4KFPRN4 \
  | 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: f6c5797736f616324063fdabc515f16f37b1ed82260608f34fc5d3cb2b3221a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18a42a0336cda6cd1dbb6abb73b1ed669886ec17fe0d99155f0470983cef1677",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1995-04-07T00:00:00Z",
    "title_canon_sha256": "1f0644e60444be7a153e3321ae58a7ca7bd9e96fe898d6dd53b0a5d4c5d4e5a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9504208",
    "kind": "arxiv",
    "version": 1
  }
}