Pith Number

pith:JHQLKHWT

pith:2017:JHQLKHWTZ2SPL3ZVN4ZEZZEE7D

not attested not anchored not stored refs pending

Synchronization and separation in the Johnson schemes

John Bamberg, Mohammed Aljohani, Peter J. Cameron

arxiv:1706.01365 v2 · 2017-06-05 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JHQLKHWTZ2SPL3ZVN4ZEZZEE7D}

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	2026-05-17T23:44:43.581768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49e0b51ed3cea4f5ef356f324ce484f8f531748260c41db4357c149f7665ad40

Aliases

arxiv: 1706.01365 · arxiv_version: 1706.01365v2 · doi: 10.48550/arxiv.1706.01365 · pith_short_12: JHQLKHWTZ2SP · pith_short_16: JHQLKHWTZ2SPL3ZV · pith_short_8: JHQLKHWT

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/JHQLKHWTZ2SPL3ZVN4ZEZZEE7D \
  | 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: 49e0b51ed3cea4f5ef356f324ce484f8f531748260c41db4357c149f7665ad40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7c4aa78f98ca02296ac2b106c885b16bf62fd1d2f580c661efe3485626d63d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-06-05T15:07:51Z",
    "title_canon_sha256": "e3b20dc460a32c24b97b0984d70d5bddb2b1d0df4afaa1fbaacc2d9cf250fd65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01365",
    "kind": "arxiv",
    "version": 2
  }
}