Pith Number

pith:QVKRLGK5

pith:2026:QVKRLGK53LK54VZCUSJKCI52DX

not attested not anchored not stored refs pending

Global dimension of a string algebra

Lingchun Zhang, Zheng Xin

arxiv:2607.11552 v1 · 2026-07-13 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVKRLGK53LK54VZCUSJKCI52DX}

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	2026-07-14T02:22:10.620123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

855515995ddad5de5722a492a123ba1dec43904bdd7e24400d1bd270ffa2797b

Aliases

arxiv: 2607.11552 · arxiv_version: 2607.11552v1 · doi: 10.48550/arxiv.2607.11552 · pith_short_12: QVKRLGK53LK5 · pith_short_16: QVKRLGK53LK54VZC · pith_short_8: QVKRLGK5

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/QVKRLGK53LK54VZCUSJKCI52DX \
  | 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: 855515995ddad5de5722a492a123ba1dec43904bdd7e24400d1bd270ffa2797b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7907d0c1078313fefd0de8148e6d39c281e6a9639cbeebdaf9a19273e4b69d53",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-07-13T13:34:42Z",
    "title_canon_sha256": "88fc4dfee4244c15c579e7deaf2741fe98fc90d17d88da8203a0e201de726f6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11552",
    "kind": "arxiv",
    "version": 1
  }
}