Pith Number

pith:R7AUW3X6

pith:2012:R7AUW3X63OWBKXTRNS2KSTIMUW

not attested not anchored not stored refs pending

Operator theory on the tetrablock

Tirthankar Bhattacharyya

arxiv:1207.3395 v2 · 2012-07-14 · 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{R7AUW3X63OWBKXTRNS2KSTIMUW}

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	2026-05-18T01:26:25.768807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fc14b6efedbac155e716cb4a94d0ca586a5ef70793200a261e7e28b403adbbf

Aliases

arxiv: 1207.3395 · arxiv_version: 1207.3395v2 · doi: 10.48550/arxiv.1207.3395 · pith_short_12: R7AUW3X63OWB · pith_short_16: R7AUW3X63OWBKXTR · pith_short_8: R7AUW3X6

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/R7AUW3X63OWBKXTRNS2KSTIMUW \
  | 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: 8fc14b6efedbac155e716cb4a94d0ca586a5ef70793200a261e7e28b403adbbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8ed8b72b1d48e19e7cd44864dff4f453b8f5bf185f731e2e4103e1424ce192c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-14T06:20:17Z",
    "title_canon_sha256": "6f953ffd135aaea60eea0d4988409fbcc1bfa03b7a2593a29c8341798434320b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3395",
    "kind": "arxiv",
    "version": 2
  }
}