Pith Number

pith:MN3HALYK

pith:2017:MN3HALYKRHI2KF2YRYQOUZOCUX

not attested not anchored not stored refs pending

On the arithmetic of simple singularities of type E

Beth Romano, Jack A. Thorne

arxiv:1707.04355 v1 · 2017-07-13 · 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{MN3HALYKRHI2KF2YRYQOUZOCUX}

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	2026-05-18T00:40:18.503296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6376702f0a89d1a517588e20ea65c2a5dc27ed9184841ff126bedcd7706e0e9e

Aliases

arxiv: 1707.04355 · arxiv_version: 1707.04355v1 · doi: 10.48550/arxiv.1707.04355 · pith_short_12: MN3HALYKRHI2 · pith_short_16: MN3HALYKRHI2KF2Y · pith_short_8: MN3HALYK

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/MN3HALYKRHI2KF2YRYQOUZOCUX \
  | 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: 6376702f0a89d1a517588e20ea65c2a5dc27ed9184841ff126bedcd7706e0e9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d4b30bf05c3630b26d1c2f3361b54855b5385bf1a34db8829067e84491521c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-13T23:45:07Z",
    "title_canon_sha256": "62fca431576970c9c3b53dd03c7eac01796d7b7d0ba1f8b926812d991b6a8a91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04355",
    "kind": "arxiv",
    "version": 1
  }
}