Pith Number

pith:XPVKYM6Z

pith:2015:XPVKYM6ZK3OEYHNS7SEFDW6ZTR

not attested not anchored not stored refs pending

Absolute continuity for commuting row contractions

Kenneth R. Davidson, Rapha\"el Clou\^atre

arxiv:1511.02981 v2 · 2015-11-10 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPVKYM6ZK3OEYHNS7SEFDW6ZTR}

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	2026-05-18T01:15:14.782888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbeaac33d956dc4c1db2fc8851dbd99c55e527615df91c7da75a3a59ffe0a47e

Aliases

arxiv: 1511.02981 · arxiv_version: 1511.02981v2 · doi: 10.48550/arxiv.1511.02981 · pith_short_12: XPVKYM6ZK3OE · pith_short_16: XPVKYM6ZK3OEYHNS · pith_short_8: XPVKYM6Z

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/XPVKYM6ZK3OEYHNS7SEFDW6ZTR \
  | 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: bbeaac33d956dc4c1db2fc8851dbd99c55e527615df91c7da75a3a59ffe0a47e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a80729091fd1f60512575f2072b26289907076aa31558072342bf692dd6f06e",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-11-10T03:11:42Z",
    "title_canon_sha256": "6f0a820f9e0e512bb9a882a3c042d79c54e675935a63b43161a575c31a98d411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02981",
    "kind": "arxiv",
    "version": 2
  }
}