Pith Number

pith:4QGOM7AB

pith:2017:4QGOM7ABSFRKLWIDX7OFEEC3IM

not attested not anchored not stored refs pending

Positivstellensatz\"e for noncommutative rational expressions

J. E. Pascoe

arxiv:1703.06951 v1 · 2017-03-20 · math.FA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QGOM7ABSFRKLWIDX7OFEEC3IM}

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	2026-05-18T00:48:11.776208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e40ce67c019162a5d903bfdc52105b430fc5f3a4f6977c9c6d9053bff5608fb4

Aliases

arxiv: 1703.06951 · arxiv_version: 1703.06951v1 · doi: 10.48550/arxiv.1703.06951 · pith_short_12: 4QGOM7ABSFRK · pith_short_16: 4QGOM7ABSFRKLWID · pith_short_8: 4QGOM7AB

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/4QGOM7ABSFRKLWIDX7OFEEC3IM \
  | 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: e40ce67c019162a5d903bfdc52105b430fc5f3a4f6977c9c6d9053bff5608fb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62fe274ff3cd4730ddc04b34f7e8761bf9c83c30d0e3eff9d0170c72ac48710b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-20T20:20:18Z",
    "title_canon_sha256": "af24e3431427428d71c4a4dff6bc4a1faae340a35cfc80b291efda54ab85a682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06951",
    "kind": "arxiv",
    "version": 1
  }
}