Pith Number

pith:NMCMFQEG

pith:2010:NMCMFQEGYGF3L4ENIUH6AASH34

not attested not anchored not stored refs pending

Invertible Symmetric 3 x 3 Binary Matrices and GQ(2,4)

Andrea Blunck, Metod Saniga, Peter Levay, Peter Vrana

arxiv:1009.1768 v1 · 2010-09-09 · math.AG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMCMFQEGYGF3L4ENIUH6AASH34}

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	2026-05-18T03:44:34.125345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b04c2c086c18bb5f08d450fe00247df27f767bb1db61cf6c1bcc639e91d6134

Aliases

arxiv: 1009.1768 · arxiv_version: 1009.1768v1 · doi: 10.48550/arxiv.1009.1768 · pith_short_12: NMCMFQEGYGF3 · pith_short_16: NMCMFQEGYGF3L4EN · pith_short_8: NMCMFQEG

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/NMCMFQEGYGF3L4ENIUH6AASH34 \
  | 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: 6b04c2c086c18bb5f08d450fe00247df27f767bb1db61cf6c1bcc639e91d6134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03ddcb359384b2c5a4d4294c67c4b95a103a39f7c9d5da638401f9ed9bbe7c9a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-09T13:13:10Z",
    "title_canon_sha256": "e760ec869764ee95b9a87f544ad9f86b7b10c898dbeaed9f94d7dc0c119cd32b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1768",
    "kind": "arxiv",
    "version": 1
  }
}