Pith Number

pith:6Z6UF5TU

pith:2019:6Z6UF5TU5D4KGCDMMBF4K25N37

not attested not anchored not stored refs pending

Noncommutative cyclic isolated singularities

Alexander Young, James Zhang, Kenneth Chan

arxiv:1902.04847 v1 · 2019-02-13 · math.RA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6Z6UF5TU5D4KGCDMMBF4K25N37}

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	2026-05-17T23:54:05.753603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f67d42f674e8f8a3086c604bc56baddfd1b63873b768ca565e73f79db88138e0

Aliases

arxiv: 1902.04847 · arxiv_version: 1902.04847v1 · doi: 10.48550/arxiv.1902.04847 · pith_short_12: 6Z6UF5TU5D4K · pith_short_16: 6Z6UF5TU5D4KGCDM · pith_short_8: 6Z6UF5TU

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/6Z6UF5TU5D4KGCDMMBF4K25N37 \
  | 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: f67d42f674e8f8a3086c604bc56baddfd1b63873b768ca565e73f79db88138e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a56d64f3fe0734e7a666a78159654ed9e81ec5ea1df8f55d9e46225ce760f66",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-02-13T10:37:23Z",
    "title_canon_sha256": "534fbf41236c8dbf1582c93f7d20cf9c77c2dda5d3aef10724c787062d0e5041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04847",
    "kind": "arxiv",
    "version": 1
  }
}