Pith Number

pith:3U6OPXVR

pith:2010:3U6OPXVR42Z2OKVHUWMGAHLOXE

not attested not anchored not stored refs pending

On triply even binary codes

Akihiro Munemasa, Koichi Betsumiya

arxiv:1012.4134 v3 · 2010-12-19 · 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{3U6OPXVR42Z2OKVHUWMGAHLOXE}

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	2026-05-18T03:44:24.744866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd3ce7deb1e6b3a72aa7a598601d6eb9295b681b004e3dada49a7d63c20a46a5

Aliases

arxiv: 1012.4134 · arxiv_version: 1012.4134v3 · doi: 10.48550/arxiv.1012.4134 · pith_short_12: 3U6OPXVR42Z2 · pith_short_16: 3U6OPXVR42Z2OKVH · pith_short_8: 3U6OPXVR

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/3U6OPXVR42Z2OKVHUWMGAHLOXE \
  | 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: dd3ce7deb1e6b3a72aa7a598601d6eb9295b681b004e3dada49a7d63c20a46a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dba8a584fefc903a2e71c25c3862024c2ad33103693e51f915a7cbda7855b185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-19T00:27:50Z",
    "title_canon_sha256": "88a04419a85594c5f823bb055c2df303770f7c469af20e38ad4ffd9e514802e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4134",
    "kind": "arxiv",
    "version": 3
  }
}