Pith Number

pith:UHGWH55F

pith:2013:UHGWH55FXQA6QQEEH3WWORS6Y2

not attested not anchored not stored refs pending

Periodic points in towers of finite fields for polynomials associated to algebraic groups

Bianca Thompson, Michelle Manes

arxiv:1301.6158 v1 · 2013-01-25 · 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{UHGWH55FXQA6QQEEH3WWORS6Y2}

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	2026-05-18T03:35:26.914743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1cd63f7a5bc01e840843eed67465ec6bb4733790c9582f003609dcfa3ae5f6b

Aliases

arxiv: 1301.6158 · arxiv_version: 1301.6158v1 · doi: 10.48550/arxiv.1301.6158 · pith_short_12: UHGWH55FXQA6 · pith_short_16: UHGWH55FXQA6QQEE · pith_short_8: UHGWH55F

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/UHGWH55FXQA6QQEEH3WWORS6Y2 \
  | 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: a1cd63f7a5bc01e840843eed67465ec6bb4733790c9582f003609dcfa3ae5f6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8fe35bca581d88e65b43a795a4c4f71f95b5a2cc9216dbe25d0497da27956f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-25T20:55:00Z",
    "title_canon_sha256": "7edfc754e651cfd92546a91cf98bf1fbfb08c199f94b7ce93b45c4c988952c68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6158",
    "kind": "arxiv",
    "version": 1
  }
}