Pith Number

pith:NXCTOJI2

pith:2015:NXCTOJI2UIILVDHPX5FUELYW7E

not attested not anchored not stored refs pending

Primitively generated Hopf orders in characteristic $p$

Alan Koch

arxiv:1509.07393 v1 · 2015-09-24 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXCTOJI2UIILVDHPX5FUELYW7E}

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	2026-05-18T01:32:09.123683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dc537251aa210ba8cefbf4b422f16f93808f0ebe113accd53c853a8bd5f1e64

Aliases

arxiv: 1509.07393 · arxiv_version: 1509.07393v1 · doi: 10.48550/arxiv.1509.07393 · pith_short_12: NXCTOJI2UIIL · pith_short_16: NXCTOJI2UIILVDHP · pith_short_8: NXCTOJI2

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/NXCTOJI2UIILVDHPX5FUELYW7E \
  | 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: 6dc537251aa210ba8cefbf4b422f16f93808f0ebe113accd53c853a8bd5f1e64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "167040d0199c3fa3181676a2b3a9574f7943c617054a28b8381e39139ac6b48e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-24T14:44:21Z",
    "title_canon_sha256": "2a7466338c356aad4f884964a12e0580ff58d33e40241d6a66d862dd42ce923b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07393",
    "kind": "arxiv",
    "version": 1
  }
}