Pith Number

pith:ZOENGKYT

pith:2011:ZOENGKYTMH3MEJVFNQK4OTJYFA

not attested not anchored not stored refs pending

Translational tilings by a polytope, with multiplicity

Dmitry Shiryaev, Nick Gravin, Sinai Robins

arxiv:1103.3163 v1 · 2011-03-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZOENGKYTMH3MEJVFNQK4OTJYFA}

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	2026-05-18T04:26:44.681627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb88d32b1361f6c226a56c15c74d382814cb2765a078d74b22e003f5f7d0acc4

Aliases

arxiv: 1103.3163 · arxiv_version: 1103.3163v1 · doi: 10.48550/arxiv.1103.3163 · pith_short_12: ZOENGKYTMH3M · pith_short_16: ZOENGKYTMH3MEJVF · pith_short_8: ZOENGKYT

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/ZOENGKYTMH3MEJVFNQK4OTJYFA \
  | 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: cb88d32b1361f6c226a56c15c74d382814cb2765a078d74b22e003f5f7d0acc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1739cce96fbfdc1d1bc8b6aa742da3c9212d29c3accd053db86d0191441c2fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-16T13:15:12Z",
    "title_canon_sha256": "71762429ff652a902ca491d3ef157df525a379c9a6f6ee1b846daa58057d1941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3163",
    "kind": "arxiv",
    "version": 1
  }
}