Pith Number

pith:MPHOHN3I

pith:2017:MPHOHN3IZTNZBAYAWNCQDPYMLB

not attested not anchored not stored refs pending

Rigid local systems and alternating groups

Nicholas M. Katz, Pham Huu Tiep, Robert M. Guralnick

arxiv:1710.02505 v1 · 2017-10-06 · math.NT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPHOHN3IZTNZBAYAWNCQDPYMLB}

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	2026-05-18T00:33:33.290192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63cee3b768ccdb908300b34501bf0c58552fe7d7165dd50d35e8284e34097e5e

Aliases

arxiv: 1710.02505 · arxiv_version: 1710.02505v1 · doi: 10.48550/arxiv.1710.02505 · pith_short_12: MPHOHN3IZTNZ · pith_short_16: MPHOHN3IZTNZBAYA · pith_short_8: MPHOHN3I

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/MPHOHN3IZTNZBAYAWNCQDPYMLB \
  | 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: 63cee3b768ccdb908300b34501bf0c58552fe7d7165dd50d35e8284e34097e5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cf1e92a15294c57defa7dcd3fe40f733e281c1cbfcbf999bd32d8e873909bb7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-06T17:20:03Z",
    "title_canon_sha256": "faf11cca7d15852b4ad2a17c3ef30405fb0531efa2662cde0ae123ed75948744"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02505",
    "kind": "arxiv",
    "version": 1
  }
}