Pith Number

pith:PQDQW2K2

pith:2016:PQDQW2K2QRQOQ4FNVINAEG77SS

not attested not anchored not stored refs pending

Projective Modules over Quantum Projective Line

Albert Jeu-Liang Sheu

arxiv:1605.01968 v2 · 2016-05-06 · 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{PQDQW2K2QRQOQ4FNVINAEG77SS}

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	2026-05-18T00:23:57.222427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c070b695a8460e870adaa1a021bff94ba5befc5f9fdc48496b1d0f61c7d01da

Aliases

arxiv: 1605.01968 · arxiv_version: 1605.01968v2 · doi: 10.48550/arxiv.1605.01968 · pith_short_12: PQDQW2K2QRQO · pith_short_16: PQDQW2K2QRQOQ4FN · pith_short_8: PQDQW2K2

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/PQDQW2K2QRQOQ4FNVINAEG77SS \
  | 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: 7c070b695a8460e870adaa1a021bff94ba5befc5f9fdc48496b1d0f61c7d01da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c34113045c32d792ea8d0aa2c566f75cfe5f27612584cfe04104ff23d5462a54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-05-06T15:21:25Z",
    "title_canon_sha256": "4614d82f35f705db6376c687a3b449be1df76c358fcf556c09c95453d00c590b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01968",
    "kind": "arxiv",
    "version": 2
  }
}