Pith Number

pith:PYCMQVCZ

pith:2026:PYCMQVCZULRKGJ6IL75MSQOAGW

not attested not anchored not stored refs pending

On the geometry of the algebraic Davis--Wielandt shell and norm-parallelism in $C^*$-algebra

Arnab Patra, Debarati Bhattacharya, Fuad Kittaneh, Sanchita Satpathy

arxiv:2607.00719 v1 · 2026-07-01 · math.OA · 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{PYCMQVCZULRKGJ6IL75MSQOAGW}

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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	2026-07-02T01:17:52.561862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e04c85459a2e2a327c85ffac941c035839a0b6b3e26962cc45aa891500edccd

Aliases

arxiv: 2607.00719 · arxiv_version: 2607.00719v1 · doi: 10.48550/arxiv.2607.00719 · pith_short_12: PYCMQVCZULRK · pith_short_16: PYCMQVCZULRKGJ6I · pith_short_8: PYCMQVCZ

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/PYCMQVCZULRKGJ6IL75MSQOAGW \
  | 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: 7e04c85459a2e2a327c85ffac941c035839a0b6b3e26962cc45aa891500edccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fd7f6b013b109a1ff311ff6ba179e09bcc08a04c836da8831d8600f39e44ac7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-07-01T10:07:40Z",
    "title_canon_sha256": "6017a9c208b41da667eff854affe1851574fa9dadbc7896abf78dd830be6bbde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00719",
    "kind": "arxiv",
    "version": 1
  }
}