Pith Number

pith:3B7CR4TF

pith:2012:3B7CR4TFJUFREBFWOGSCAADQR3

not attested not anchored not stored refs pending

Covering Numbers in Linear Algebra

Pete L. Clark

arxiv:1208.0975 v1 · 2012-08-05 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3B7CR4TFJUFREBFWOGSCAADQR3}

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	2026-05-18T03:49:20.944798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d87e28f2654d0b1204b671a42000708ee5ebe651f51750cf19793383b01fd94a

Aliases

arxiv: 1208.0975 · arxiv_version: 1208.0975v1 · doi: 10.48550/arxiv.1208.0975 · pith_short_12: 3B7CR4TFJUFR · pith_short_16: 3B7CR4TFJUFREBFW · pith_short_8: 3B7CR4TF

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/3B7CR4TFJUFREBFWOGSCAADQR3 \
  | 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: d87e28f2654d0b1204b671a42000708ee5ebe651f51750cf19793383b01fd94a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13c49a306d9e7c002d2b3713e228fa8600f7cf1565cc1ff9a685324443168643",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2012-08-05T02:02:40Z",
    "title_canon_sha256": "d4ebc5b9dff0d603d507ba28e28797496c23df6fc84bdbaf609c1cd4b45997a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0975",
    "kind": "arxiv",
    "version": 1
  }
}