Pith Number

pith:KMHXFZGZ

pith:2017:KMHXFZGZHZFB6D4NTMA73ISILW

not attested not anchored not stored refs pending

A linear threshold for uniqueness of solutions to random jigsaw puzzles

Anders Martinsson

arxiv:1701.04813 v2 · 2017-01-17 · math.PR · cs.DM · 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{KMHXFZGZHZFB6D4NTMA73ISILW}

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

Shotgun reconstruction in the hypercube

Receipt and verification

First computed	2026-05-17T23:50:16.535463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

530f72e4d93e4a1f0f8d9b01fda2485dbab84104ebdc474e5c78d9430d8793a7

Aliases

arxiv: 1701.04813 · arxiv_version: 1701.04813v2 · doi: 10.48550/arxiv.1701.04813 · pith_short_12: KMHXFZGZHZFB · pith_short_16: KMHXFZGZHZFB6D4N · pith_short_8: KMHXFZGZ

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/KMHXFZGZHZFB6D4NTMA73ISILW \
  | 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: 530f72e4d93e4a1f0f8d9b01fda2485dbab84104ebdc474e5c78d9430d8793a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "351d34fed66dca34fedeedfbb35e68bfb73930c1a539d238b3d7757ff9985000",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-17T18:57:01Z",
    "title_canon_sha256": "34c44df70c38311282d3aa521f2cb1e264bd788da1806e929d7b85db1f386f3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04813",
    "kind": "arxiv",
    "version": 2
  }
}