Pith Number

pith:SJDJW4O2

pith:2011:SJDJW4O2YIKHIT6HMFV65QHENN

not attested not anchored not stored refs pending

Avoiding Three Consecutive Blocks of the Same Size and Same Sum

James D. Currie, Jeffrey Shallit, Julien Cassaigne, Luke Schaeffer

arxiv:1106.5204 v3 · 2011-06-26 · 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{SJDJW4O2YIKHIT6HMFV65QHENN}

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	2026-05-18T04:15:49.607900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92469b71dac214744fc7616beec0e46b49c3c59e629690fe67f8da16a7d85b9a

Aliases

arxiv: 1106.5204 · arxiv_version: 1106.5204v3 · doi: 10.48550/arxiv.1106.5204 · pith_short_12: SJDJW4O2YIKH · pith_short_16: SJDJW4O2YIKHIT6H · pith_short_8: SJDJW4O2

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/SJDJW4O2YIKHIT6HMFV65QHENN \
  | 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: 92469b71dac214744fc7616beec0e46b49c3c59e629690fe67f8da16a7d85b9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c794cfd55c9e2b46f8fcb24646145c5ffecb64b7738523eaa33757b14c9dd405",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-06-26T10:00:24Z",
    "title_canon_sha256": "52acd98f2f8ff2509742819b42d2f8f8c0248b1b08974b3eec3d74cf67b09c22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5204",
    "kind": "arxiv",
    "version": 3
  }
}