Pith Number

pith:EZR6HVHS

pith:2013:EZR6HVHSCV3VX3UXCYRS7QN337

not attested not anchored not stored refs pending

On the existence of tight relative 2-designs on binary Hamming association schemes

Eiichi Bannai, Etsuko Bannai, Hideo Bannai

arxiv:1304.5760 v1 · 2013-04-21 · 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{EZR6HVHSCV3VX3UXCYRS7QN337}

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	2026-05-18T03:27:24.227362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2663e3d4f215775bee9716232fc1bbdfe6c20ee55d14f47819e3d48e6cdf0a7e

Aliases

arxiv: 1304.5760 · arxiv_version: 1304.5760v1 · doi: 10.48550/arxiv.1304.5760 · pith_short_12: EZR6HVHSCV3V · pith_short_16: EZR6HVHSCV3VX3UX · pith_short_8: EZR6HVHS

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/EZR6HVHSCV3VX3UXCYRS7QN337 \
  | 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: 2663e3d4f215775bee9716232fc1bbdfe6c20ee55d14f47819e3d48e6cdf0a7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6a8aae420ea08fea0b933c08cdca9a0bf41c32a28d17ddd8e194c1b3de12826",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-21T16:11:35Z",
    "title_canon_sha256": "60018dac0702c7b01216e7a1c8504996a4ad9ea117d7a381130b36e64da43935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5760",
    "kind": "arxiv",
    "version": 1
  }
}