Pith Number

pith:QABMF6MC

pith:2016:QABMF6MCWARYT3SGA2B6LAZR2P

not attested not anchored not stored refs pending

On polynomial $n$-tuples of commuting isometries

Edward J. Timko

arxiv:1604.06364 v2 · 2016-04-21 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QABMF6MCWARYT3SGA2B6LAZR2P}

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	2026-05-18T01:16:23.981931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8002c2f982b02389ee460683e58331d3c91ed2950a7040c29367b8edb02dd6cb

Aliases

arxiv: 1604.06364 · arxiv_version: 1604.06364v2 · doi: 10.48550/arxiv.1604.06364 · pith_short_12: QABMF6MCWARY · pith_short_16: QABMF6MCWARYT3SG · pith_short_8: QABMF6MC

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/QABMF6MCWARYT3SGA2B6LAZR2P \
  | 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: 8002c2f982b02389ee460683e58331d3c91ed2950a7040c29367b8edb02dd6cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dbebd85e557240c9846d5e13c989a17fdcfe45e1173ddc4ec58912f4b2f328f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-21T15:53:09Z",
    "title_canon_sha256": "7b072fbd0845f79d31cc7f8085f3ca0686f02713699385eb4225ab27c660897b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06364",
    "kind": "arxiv",
    "version": 2
  }
}