Pith Number

pith:2GW63MQD

pith:2024:2GW63MQDZZYS77VCUUGDTH22BR

not attested not anchored not stored refs pending

$K_{0}$-groups and strongly irreducible decompositions of operator tuples

Jing Xu

arxiv:2403.12348 v1 · 2024-03-19 · 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{2GW63MQDZZYS77VCUUGDTH22BR}

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	2026-07-05T07:57:59.791592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1adedb203ce712ffea2a50c399f5a0c7bfe833d2097f15f20dbc07ea93fdd77

Aliases

arxiv: 2403.12348 · arxiv_version: 2403.12348v1 · doi: 10.48550/arxiv.2403.12348 · pith_short_12: 2GW63MQDZZYS · pith_short_16: 2GW63MQDZZYS77VC · pith_short_8: 2GW63MQD

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/2GW63MQDZZYS77VCUUGDTH22BR \
  | 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: d1adedb203ce712ffea2a50c399f5a0c7bfe833d2097f15f20dbc07ea93fdd77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "692e32410211969139a79b5eff39eb469ad305dd035acbdae6bd2d64637ad3fd",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-03-19T01:37:22Z",
    "title_canon_sha256": "4fc88bee54fd8505f3a5b6ee5ee7ce636ea78721600de53ac1fd63585da686e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.12348",
    "kind": "arxiv",
    "version": 1
  }
}