Pith Number

pith:5IKIEKUU

pith:2012:5IKIEKUUUM7ZT63L5TD4S4W2RN

not attested not anchored not stored refs pending

Structure results for multiple tilings in 3D

Dmitry Shiryaev, Mihail Kolountzakis, Nick Gravin, Sinai Robins

arxiv:1208.1439 v1 · 2012-08-07 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5IKIEKUUUM7ZT63L5TD4S4W2RN}

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	2026-05-18T03:49:11.396520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea14822a94a33f99fb6becc7c972da8b62ff1bb55b76837029542f7fb94e17c4

Aliases

arxiv: 1208.1439 · arxiv_version: 1208.1439v1 · doi: 10.48550/arxiv.1208.1439 · pith_short_12: 5IKIEKUUUM7Z · pith_short_16: 5IKIEKUUUM7ZT63L · pith_short_8: 5IKIEKUU

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/5IKIEKUUUM7ZT63L5TD4S4W2RN \
  | 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: ea14822a94a33f99fb6becc7c972da8b62ff1bb55b76837029542f7fb94e17c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "543bc00c245b27117c2cd72081f33d4ede79b15210249ee5014cd1b38cf6da4f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-07T15:01:03Z",
    "title_canon_sha256": "b71e82cd97b77edf614b27e563e07efd7c56536308ee84118f3daf0073888378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1439",
    "kind": "arxiv",
    "version": 1
  }
}