Pith Number

pith:EO7MHOGR

pith:2014:EO7MHOGRJF6DOQTBFUYKRFV6W4

not attested not anchored not stored refs pending

Periodic nilsequences and inverse theorems on cyclic groups

Frederick Manners

arxiv:1404.7742 v1 · 2014-04-30 · math.CO · 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{EO7MHOGRJF6DOQTBFUYKRFV6W4}

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.

Cited by

1 paper in Pith

The Jamneshan-Tao conjecture for finite abelian groups of bounded rank

Receipt and verification

First computed	2026-05-18T02:52:50.052030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23bec3b8d1497c3742612d30a896beb73da633568e56c49bb5ae13c15682d642

Aliases

arxiv: 1404.7742 · arxiv_version: 1404.7742v1 · doi: 10.48550/arxiv.1404.7742 · pith_short_12: EO7MHOGRJF6D · pith_short_16: EO7MHOGRJF6DOQTB · pith_short_8: EO7MHOGR

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/EO7MHOGRJF6DOQTBFUYKRFV6W4 \
  | 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: 23bec3b8d1497c3742612d30a896beb73da633568e56c49bb5ae13c15682d642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18033edf4431c99e5714d8d94d8fad164ff4b94be5ff66ee1927e8c10b859755",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-30T14:42:28Z",
    "title_canon_sha256": "3b7b175a77297ea59326c48162954aa6637c96e8cf19562afffb9a00d480df30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7742",
    "kind": "arxiv",
    "version": 1
  }
}