Pith Number

pith:ZWUH2UVM

pith:2013:ZWUH2UVMALPXJBWB7O42RH62ZL

not attested not anchored not stored refs pending

A \mu-ordinary Hasse invariant

Marc-Hubert Nicole, Wushi Goldring

arxiv:1302.1614 v3 · 2013-02-06 · 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{ZWUH2UVMALPXJBWB7O42RH62ZL}

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	2026-05-18T02:30:32.710279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cda87d52ac02df7486c1fbb9a89fdacae4016a4647076926235993ac1885fb52

Aliases

arxiv: 1302.1614 · arxiv_version: 1302.1614v3 · doi: 10.48550/arxiv.1302.1614 · pith_short_12: ZWUH2UVMALPX · pith_short_16: ZWUH2UVMALPXJBWB · pith_short_8: ZWUH2UVM

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/ZWUH2UVMALPXJBWB7O42RH62ZL \
  | 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: cda87d52ac02df7486c1fbb9a89fdacae4016a4647076926235993ac1885fb52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a10d6bf94e5d5c768f6439ca3a77130aa1b7eb5fca1a0e814d52e63c33b37e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-06T23:32:37Z",
    "title_canon_sha256": "4bb4fe7474adba0c4dd91241e49e0f9eb3d3630e0d943c859e5ed578399850c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1614",
    "kind": "arxiv",
    "version": 3
  }
}