Pith Number

pith:VL6SB2UO

pith:2018:VL6SB2UOABF6FT4FWMOS4LMLAA

not attested not anchored not stored refs pending

Rigidity of proper colorings of $\mathbb{Z}^d$

Ron Peled, Yinon Spinka

arxiv:1808.03597 v3 · 2018-08-10 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VL6SB2UOABF6FT4FWMOS4LMLAA}

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.

Cited by

1 paper in Pith

Long-range order in discrete spin systems

Receipt and verification

First computed	2026-07-05T01:22:28.579738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aafd20ea8e004be2cf85b31d2e2d8b0002ca903c88fc4f9000e16e2ca03644ee

Aliases

arxiv: 1808.03597 · arxiv_version: 1808.03597v3 · doi: 10.48550/arxiv.1808.03597 · pith_short_12: VL6SB2UOABF6 · pith_short_16: VL6SB2UOABF6FT4F · pith_short_8: VL6SB2UO

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/VL6SB2UOABF6FT4FWMOS4LMLAA \
  | 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: aafd20ea8e004be2cf85b31d2e2d8b0002ca903c88fc4f9000e16e2ca03644ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4df479cb5852f5da4b0925c6ac1e56327e79a1df89fa48c32545d661b78732bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-10T15:54:49Z",
    "title_canon_sha256": "dc70dda52b8749a3eb5430a19b92a03d74d349adb41b0d9e2a031d71440056f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03597",
    "kind": "arxiv",
    "version": 3
  }
}