Pith Number

pith:MBDEXNOU

pith:2017:MBDEXNOUQRFUH5B34PCT2KOGV4

not attested not anchored not stored refs pending

Connected components of the graph generated by power maps in prime finite fields

Carl Pomerance, Igor E. Shparlinski

arxiv:1703.09292 v2 · 2017-03-27 · 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{MBDEXNOUQRFUH5B34PCT2KOGV4}

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	2026-05-18T00:42:51.160758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60464bb5d4844b43f43be3c53d29c6af21072ae395fdb36f893add66f01f15c5

Aliases

arxiv: 1703.09292 · arxiv_version: 1703.09292v2 · doi: 10.48550/arxiv.1703.09292 · pith_short_12: MBDEXNOUQRFU · pith_short_16: MBDEXNOUQRFUH5B3 · pith_short_8: MBDEXNOU

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/MBDEXNOUQRFUH5B34PCT2KOGV4 \
  | 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: 60464bb5d4844b43f43be3c53d29c6af21072ae395fdb36f893add66f01f15c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "222fb79ae49457c81c0458983497a093c6f96b2eabf665a3607c0d5ef2770843",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-27T20:12:12Z",
    "title_canon_sha256": "cb79d46bc90bf9f0f28b0aeb1689a3976369dfaba1f8520fc39fae223a19822d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09292",
    "kind": "arxiv",
    "version": 2
  }
}