Pith Number

pith:U3PPMUC2

pith:2015:U3PPMUC2FHTVJAO42ZYQMCAH57

not attested not anchored not stored refs pending

Convex entire noncommutative functions are polynomials of degree two or less

J. E. Pascoe, J. William Helton, Ryan Tully-Doyle, Victor Vinnikov

arxiv:1501.06000 v1 · 2015-01-24 · 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{U3PPMUC2FHTVJAO42ZYQMCAH57}

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	2026-05-18T02:28:47.097157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6def6505a29e75481dcd671060807efc2ffd16ce67fe8581896c3bc37b291ce

Aliases

arxiv: 1501.06000 · arxiv_version: 1501.06000v1 · doi: 10.48550/arxiv.1501.06000 · pith_short_12: U3PPMUC2FHTV · pith_short_16: U3PPMUC2FHTVJAO4 · pith_short_8: U3PPMUC2

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/U3PPMUC2FHTVJAO42ZYQMCAH57 \
  | 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: a6def6505a29e75481dcd671060807efc2ffd16ce67fe8581896c3bc37b291ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "219c051e4fefdb83f7ae4af5cfeecfaa0d19734944f304c6a04db6d098c88bfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-01-24T04:15:05Z",
    "title_canon_sha256": "eabfde8dbfcfe67e444a7379be31f6bff78937293db2d453a1a7480c1435bbed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06000",
    "kind": "arxiv",
    "version": 1
  }
}