Pith Number

pith:ZN7F4QYQ

pith:2015:ZN7F4QYQCIFCFEU537O2PXZHYK

not attested not anchored not stored refs pending

Foundations of topological racks and quandles

El-ka\"ioum M. Moutuou, Mohamed Elhamdadi

arxiv:1506.00084 v1 · 2015-05-30 · math.GT · math.AT · math.QA · 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{ZN7F4QYQCIFCFEU537O2PXZHYK}

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	2026-05-18T01:59:55.529412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb7e5e4310120a22929ddfdda7df27c29648456aa30bbe734a4e523dcd60e579

Aliases

arxiv: 1506.00084 · arxiv_version: 1506.00084v1 · doi: 10.48550/arxiv.1506.00084 · pith_short_12: ZN7F4QYQCIFC · pith_short_16: ZN7F4QYQCIFCFEU5 · pith_short_8: ZN7F4QYQ

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/ZN7F4QYQCIFCFEU537O2PXZHYK \
  | 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: cb7e5e4310120a22929ddfdda7df27c29648456aa30bbe734a4e523dcd60e579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aa5d7bcbbcfd6498dd775e9882b01ff3a55501ae59a85c9426273a7af9c4b1c",
    "cross_cats_sorted": [
      "math.AT",
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-30T07:22:38Z",
    "title_canon_sha256": "0d465cf65d4f813bc7e64bf45edccfc86ada9da4952f9916a80d7c72d2b37ee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00084",
    "kind": "arxiv",
    "version": 1
  }
}