Pith Number

pith:SKZNLC5S

pith:2016:SKZNLC5S42YQKSNIQZKD76IX7G

not attested not anchored not stored refs pending

Non-Commutative Vector Bundles for Non-Unital Algebras

Adam Rennie, Aidan Sims

arxiv:1612.03559 v3 · 2016-12-12 · math.KT · 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{SKZNLC5S42YQKSNIQZKD76IX7G}

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	2026-05-18T00:42:17.583103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92b2d58bb2e6b10549a886543ff917f99c410b0ba2a4e9ecbcc63188bc42680e

Aliases

arxiv: 1612.03559 · arxiv_version: 1612.03559v3 · doi: 10.48550/arxiv.1612.03559 · pith_short_12: SKZNLC5S42YQ · pith_short_16: SKZNLC5S42YQKSNI · pith_short_8: SKZNLC5S

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/SKZNLC5S42YQKSNIQZKD76IX7G \
  | 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: 92b2d58bb2e6b10549a886543ff917f99c410b0ba2a4e9ecbcc63188bc42680e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "970a0f45fe679e1ace3f45975371653028d9b5a9151ee504a8e93d799efe9639",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-12-12T07:15:02Z",
    "title_canon_sha256": "6c5f9a73ee24b8626f25f8164d9adb3aee82719fc68517823d2fc967ce773506"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03559",
    "kind": "arxiv",
    "version": 3
  }
}