Pith Number

pith:ZBQWY2TE

pith:2020:ZBQWY2TEKADNHZEF7YUK3T7VBX

not attested not anchored not stored refs pending

Isometric dilations of commuting contractions and Brehmer positivity

B. Krishna Das, Sibaprasad Barik

arxiv:2004.12610 v1 · 2020-04-27 · 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{ZBQWY2TEKADNHZEF7YUK3T7VBX}

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.

Cited by

1 paper in Pith

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Receipt and verification

First computed	2026-07-05T00:58:16.944276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8616c6a645006d3e485fe28adcff50dfb58e780780c3712fe61a0ff7be93c25

Aliases

arxiv: 2004.12610 · arxiv_version: 2004.12610v1 · doi: 10.48550/arxiv.2004.12610 · pith_short_12: ZBQWY2TEKADN · pith_short_16: ZBQWY2TEKADNHZEF · pith_short_8: ZBQWY2TE

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/ZBQWY2TEKADNHZEF7YUK3T7VBX \
  | 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: c8616c6a645006d3e485fe28adcff50dfb58e780780c3712fe61a0ff7be93c25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48bd5fb207b29c8da10080da48ef04674260e92e8f10eccee9c90d3b1fb1ac58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-04-27T07:10:41Z",
    "title_canon_sha256": "c0150fa9e48426b62c1874135f7cb10b4d458a30b42f02fceb818fe930af08bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.12610",
    "kind": "arxiv",
    "version": 1
  }
}