Pith Number

pith:U7D4QCH3

pith:2016:U7D4QCH36MSWDIKPHVSVD2K7KE

not attested not anchored not stored refs pending

Factoring onto $\mathbb{Z}^d$ subshifts with the finite extension property

Kevin McGoff, Raimundo Brice\~no, Ronnie Pavlov

arxiv:1611.03570 v4 · 2016-11-11 · 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{U7D4QCH36MSWDIKPHVSVD2K7KE}

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	2026-05-18T00:13:19.742078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7c7c808fbf32561a14f3d6551e95f51191f6e7671cd2c1cd75d8102aca6c97b

Aliases

arxiv: 1611.03570 · arxiv_version: 1611.03570v4 · doi: 10.48550/arxiv.1611.03570 · pith_short_12: U7D4QCH36MSW · pith_short_16: U7D4QCH36MSWDIKP · pith_short_8: U7D4QCH3

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/U7D4QCH36MSWDIKPHVSVD2K7KE \
  | 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: a7c7c808fbf32561a14f3d6551e95f51191f6e7671cd2c1cd75d8102aca6c97b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c327b01e03146a77de6bac42ca636140e789f67c22b93ac6814446be73ff3be3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-11-11T03:13:51Z",
    "title_canon_sha256": "403581ba0b43ae7b4dd29eb0621bf0571d54a546fa09a086304ad900ec9aa0a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03570",
    "kind": "arxiv",
    "version": 4
  }
}