Pith Number

pith:FFEDNK3C

pith:2006:FFEDNK3CQTOEERDY6CUXV47ZTU

not attested not anchored not stored refs pending

New proofs of the Assmus-Mattson theorem based on the Terwilliger algebra

Hajime Tanaka

arxiv:math/0612740 v1 · 2006-12-23 · 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{FFEDNK3CQTOEERDY6CUXV47ZTU}

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.

Cited by

1 paper in Pith

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes

Receipt and verification

First computed	2026-07-04T17:29:06.040895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

294836ab6284dc424478f0a97af3f99d32bf56d5feae6837bbb3feec1e0992e3

Aliases

arxiv: math/0612740 · arxiv_version: math/0612740v1 · doi: 10.48550/arxiv.math/0612740 · pith_short_12: FFEDNK3CQTOE · pith_short_16: FFEDNK3CQTOEERDY · pith_short_8: FFEDNK3C

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/FFEDNK3CQTOEERDY6CUXV47ZTU \
  | 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: 294836ab6284dc424478f0a97af3f99d32bf56d5feae6837bbb3feec1e0992e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb28b70dee6a9f6659a663e4232873b5243089d937ce0c564d9b792d410c9076",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-12-23T10:56:20Z",
    "title_canon_sha256": "8e558b1a5bf7f888b988e15b71191a4d4cc81c873c92c89030d649c96b47c5e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612740",
    "kind": "arxiv",
    "version": 1
  }
}