Pith Number

pith:OOFH7D3I

pith:2011:OOFH7D3IWNBGTJGZXXJIDFUHBA

not attested not anchored not stored refs pending

On the Size of the Resonant Set for the Products of 2x2 Matrices

Benjamin Seeger, Deborah Unger, Jeffrey Allen

arxiv:1106.2903 v1 · 2011-06-15 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOFH7D3IWNBGTJGZXXJIDFUHBA}

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	2026-05-18T04:19:55.380477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

738a7f8f68b34269a4d9bdd28196870802e21ce54e227ef07f9c72d039676785

Aliases

arxiv: 1106.2903 · arxiv_version: 1106.2903v1 · doi: 10.48550/arxiv.1106.2903 · pith_short_12: OOFH7D3IWNBG · pith_short_16: OOFH7D3IWNBGTJGZ · pith_short_8: OOFH7D3I

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/OOFH7D3IWNBGTJGZXXJIDFUHBA \
  | 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: 738a7f8f68b34269a4d9bdd28196870802e21ce54e227ef07f9c72d039676785

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77511d8636f91f0027038a622033266b59dc841b162ddc476d4fb34b21962aec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-06-15T08:24:47Z",
    "title_canon_sha256": "7e731acd0fb1fc89091f0262463170f7aabf161bdb8a58f997f1b56897a0c79b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2903",
    "kind": "arxiv",
    "version": 1
  }
}