Pith Number

pith:FMMHMLEB

pith:2026:FMMHMLEBOF2SPWAO7IEJVKHY3M

not attested not anchored not stored refs pending

Remarks about Connection and Dirac matrices

Oliver Knill

arxiv:2601.18071 v2 · 2026-01-26 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMMHMLEBOF2SPWAO7IEJVKHY3M}

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	2026-07-31T01:09:43.562977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

2b18762c81717527d80efa089aa8f8db34355536e8ba1671621eb412828baf74

Aliases

arxiv: 2601.18071 · arxiv_version: 2601.18071v2 · doi: 10.48550/arxiv.2601.18071 · pith_short_12: FMMHMLEBOF2S · pith_short_16: FMMHMLEBOF2SPWAO · pith_short_8: FMMHMLEB

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/FMMHMLEBOF2SPWAO7IEJVKHY3M \
  | 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: 2b18762c81717527d80efa089aa8f8db34355536e8ba1671621eb412828baf74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ba148c3fb23ee1c15bc44738f1613368c20e854f54ce70405d269fd9d52afa1",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-01-26T02:04:01Z",
    "title_canon_sha256": "bcd373cbbd6337df873c2a8e830ed7c4a2e710dfd1deedb66cf17e80323a0804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.18071",
    "kind": "arxiv",
    "version": 2
  }
}