Pith Number

pith:W2R5MJAU

pith:2006:W2R5MJAUTOCT7OEJY4ST4VTU45

not attested not anchored not stored refs pending

Integer sequences and matrices over finite fields

Kent E. Morrison

arxiv:math/0606056 v1 · 2006-06-02 · 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{W2R5MJAUTOCT7OEJY4ST4VTU45}

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

Expressivity of Shallow Neural Networks Over Finite Fields

Receipt and verification

First computed	2026-07-04T14:55:07.788405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6a3d624149b853fb889c7253e5674e7557b4d23b2a9b965a3b2a1a533461ba1

Aliases

arxiv: math/0606056 · arxiv_version: math/0606056v1 · doi: 10.48550/arxiv.math/0606056 · pith_short_12: W2R5MJAUTOCT · pith_short_16: W2R5MJAUTOCT7OEJ · pith_short_8: W2R5MJAU

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/W2R5MJAUTOCT7OEJY4ST4VTU45 \
  | 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: b6a3d624149b853fb889c7253e5674e7557b4d23b2a9b965a3b2a1a533461ba1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28c8e2c9de1cb31dc1798b271e106bebd1288f4480b6e9c92a182d3d506f671f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-06-02T15:52:12Z",
    "title_canon_sha256": "d162731cea4a4e056b1b205d942c7ba3f25d4b37417c271b849dff2c41201287"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606056",
    "kind": "arxiv",
    "version": 1
  }
}