Pith Number

pith:KX653CXN

pith:2015:KX653CXNXECN3JZUUWFE6QKDYG

not attested not anchored not stored refs pending

The Cyclic Hopf H mod K Theorem

Adrian C. Murza

arxiv:1503.05118 v1 · 2015-03-17 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KX653CXNXECN3JZUUWFE6QKDYG}

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	2026-05-18T02:22:20.373160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55fddd8aedb904dda734a58a4f4143c19add624c92b3eab793bb6435d7573fbd

Aliases

arxiv: 1503.05118 · arxiv_version: 1503.05118v1 · doi: 10.48550/arxiv.1503.05118 · pith_short_12: KX653CXNXECN · pith_short_16: KX653CXNXECN3JZU · pith_short_8: KX653CXN

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/KX653CXNXECN3JZUUWFE6QKDYG \
  | 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: 55fddd8aedb904dda734a58a4f4143c19add624c92b3eab793bb6435d7573fbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b928326653b1f4bb648bc5c3ae0acb8db32a09fcbfaaa5f2d2a937c31f238b32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-17T16:46:45Z",
    "title_canon_sha256": "2614e01b0e9fe28c19b27d174cfe07ef074a7627bb4503961b8682dbe85bbf2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05118",
    "kind": "arxiv",
    "version": 1
  }
}