Pith Number

pith:4KF7WC5N

pith:2012:4KF7WC5NBDGIZ6FICOUHWPAJES

not attested not anchored not stored refs pending

Hopf actions on filtered regular algebras

Chelsea Walton, James Zhang, Kenneth Chan, Yanhua Wang

arxiv:1211.6513 v2 · 2012-11-28 · 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{4KF7WC5NBDGIZ6FICOUHWPAJES}

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	2026-05-18T03:14:17.453361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28bfb0bad08cc8cf8a813a87b3c0924bf9e0dd863c06ec7ba88252dce432571

Aliases

arxiv: 1211.6513 · arxiv_version: 1211.6513v2 · doi: 10.48550/arxiv.1211.6513 · pith_short_12: 4KF7WC5NBDGI · pith_short_16: 4KF7WC5NBDGIZ6FI · pith_short_8: 4KF7WC5N

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/4KF7WC5NBDGIZ6FICOUHWPAJES \
  | 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: e28bfb0bad08cc8cf8a813a87b3c0924bf9e0dd863c06ec7ba88252dce432571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79bea34ed0ece222d875703d9cc75d27fba0beb6772ef6a342865523d2e2e810",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-11-28T03:52:05Z",
    "title_canon_sha256": "2bc49e874d9b923d10a610e9637a1841e6dcb1e418fb9c2a48f19f3e153058ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6513",
    "kind": "arxiv",
    "version": 2
  }
}