Pith Number

pith:ZQGJT5VC

pith:2013:ZQGJT5VC7SMP5OZ3KAECIF275S

not attested not anchored not stored refs pending

A topological group of extensions of $\Q$ by $\Z$

Jack Morava

arxiv:1310.3488 v1 · 2013-10-13 · math.NT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQGJT5VC7SMP5OZ3KAECIF275S}

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	2026-05-18T03:10:35.581688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc0c99f6a2fc98febb3b500824175fec8c49645e53623827c8e7c16803c350d8

Aliases

arxiv: 1310.3488 · arxiv_version: 1310.3488v1 · doi: 10.48550/arxiv.1310.3488 · pith_short_12: ZQGJT5VC7SMP · pith_short_16: ZQGJT5VC7SMP5OZ3 · pith_short_8: ZQGJT5VC

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/ZQGJT5VC7SMP5OZ3KAECIF275S \
  | 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: cc0c99f6a2fc98febb3b500824175fec8c49645e53623827c8e7c16803c350d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2d0e4c05d5a1b44d098128a714fcea7865f74b6359f3fd75c12175fd982b5fa",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-13T14:52:38Z",
    "title_canon_sha256": "d7264210cd36f9c14328ab684afc758cd15997313e9cc32a9fbb878e8790ecf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3488",
    "kind": "arxiv",
    "version": 1
  }
}