Pith Number

pith:FUNI7QLM

pith:2006:FUNI7QLMUDMHGLPCLNMDNMJ3AF

not attested not anchored not stored refs pending

Construction of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials

Robert Lee Wilson, Shirlei Serconek, Vladimir Retakh

arxiv:math/0603327 v5 · 2006-03-14 · math.RA · 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{FUNI7QLMUDMHGLPCLNMDNMJ3AF}

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	2026-07-04T14:53:58.713016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d1a8fc16ca0d8732de25b5836b13b0171b609b0cc67c693ca1a4bfc55ce258c

Aliases

arxiv: math/0603327 · arxiv_version: math/0603327v5 · doi: 10.48550/arxiv.math/0603327 · pith_short_12: FUNI7QLMUDMH · pith_short_16: FUNI7QLMUDMHGLPC · pith_short_8: FUNI7QLM

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/FUNI7QLMUDMHGLPCLNMDNMJ3AF \
  | 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: 2d1a8fc16ca0d8732de25b5836b13b0171b609b0cc67c693ca1a4bfc55ce258c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "465e4a55b2e7c95a1bbfe21ea4eb34647eb93562e61f5e900597e75ce79d6cf4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2006-03-14T17:56:54Z",
    "title_canon_sha256": "9665d94ba92c9fc0919fbf4c3bb633b7acbfb95f7c5fb03c0722c5de02686369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603327",
    "kind": "arxiv",
    "version": 5
  }
}