Pith Number

pith:XQFUN7K5

pith:2013:XQFUN7K5OLBF4AKUCTRWIQFIRT

not attested not anchored not stored refs pending

Showcasing straight-line programs with memory via matrix Bruhat decomposition

Alice C. Niemeyer, Cheryl E. Praeger, Daniel Rademacher, Tomasz Popiel

arxiv:1305.5617 v2 · 2013-05-24 · cs.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQFUN7K5OLBF4AKUCTRWIQFIRT}

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	2026-07-05T08:10:51.661877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc0b46fd5d72c25e015414e36440a88ce925c05829b59d8e384ff3184f0948e8

Aliases

arxiv: 1305.5617 · arxiv_version: 1305.5617v2 · doi: 10.48550/arxiv.1305.5617 · pith_short_12: XQFUN7K5OLBF · pith_short_16: XQFUN7K5OLBF4AKU · pith_short_8: XQFUN7K5

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/XQFUN7K5OLBF4AKUCTRWIQFIRT \
  | 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: bc0b46fd5d72c25e015414e36440a88ce925c05829b59d8e384ff3184f0948e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9cda5e66c4ff7ade9061a8d9e8d8a82ac9f25fa3814a31cbaca143f9048a059",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-05-24T05:18:37Z",
    "title_canon_sha256": "9f674c7397e99ecd32a9e29e1e8ef076f3ff3d5bbfb7767b207fbacddc806df0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5617",
    "kind": "arxiv",
    "version": 2
  }
}