Pith Number

pith:BEZ23R5K

pith:2015:BEZ23R5KLFBPXHHXYTI33NDHDC

not attested not anchored not stored refs pending

Expansion properties for finite subdivision rules I

Kevin M. Pilgrim, Walter R. Parry, William J. Floyd

arxiv:1508.00547 v1 · 2015-08-03 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEZ23R5KLFBPXHHXYTI33NDHDC}

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	2026-05-18T01:35:57.842930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0933adc7aa5942fb9cf7c4d1bdb467189b90d40fc8ff65466563fb236c7db9d9

Aliases

arxiv: 1508.00547 · arxiv_version: 1508.00547v1 · doi: 10.48550/arxiv.1508.00547 · pith_short_12: BEZ23R5KLFBP · pith_short_16: BEZ23R5KLFBPXHHX · pith_short_8: BEZ23R5K

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/BEZ23R5KLFBPXHHXYTI33NDHDC \
  | 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: 0933adc7aa5942fb9cf7c4d1bdb467189b90d40fc8ff65466563fb236c7db9d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "234f61d58eae47f8ee813154585fec532536d8691782e182cc89aa9e80b60a1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-03T19:37:54Z",
    "title_canon_sha256": "33c4f7af521a74849e9c7841c823a1b6d01e4da6cbbc1845ec84695e4edc533f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00547",
    "kind": "arxiv",
    "version": 1
  }
}