Pith Number

pith:B47N3VNQ

pith:2016:B47N3VNQEK2BD3VZYO5CO4O4JS

not attested not anchored not stored refs pending

Association schemes and Hypergroups

Jaiung Jun

arxiv:1607.05086 v2 · 2016-07-18 · math.CO · 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{B47N3VNQEK2BD3VZYO5CO4O4JS}

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	2026-05-18T00:46:02.575705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f3eddd5b022b411eeb9c3ba2771dc4c834ebe91538b272cedd8cb2881d96677

Aliases

arxiv: 1607.05086 · arxiv_version: 1607.05086v2 · doi: 10.48550/arxiv.1607.05086 · pith_short_12: B47N3VNQEK2B · pith_short_16: B47N3VNQEK2BD3VZ · pith_short_8: B47N3VNQ

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/B47N3VNQEK2BD3VZYO5CO4O4JS \
  | 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: 0f3eddd5b022b411eeb9c3ba2771dc4c834ebe91538b272cedd8cb2881d96677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea284ab68462f54c9afcb70025af975e0ddacb1cf09b1767cbc276935151b670",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-18T14:05:33Z",
    "title_canon_sha256": "77c55cf64e680d68d7c8ba70b95ee558b6e27ca7eaa4c985a532cb30706ac8f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05086",
    "kind": "arxiv",
    "version": 2
  }
}