Pith Number

pith:7WSLLNC2

pith:2018:7WSLLNC2TAOH4JQQX6Z54OC2U2

not attested not anchored not stored refs pending

Markov spectrum near Freiman's isolated points in $M\setminus L$

Carlos Gustavo Moreira, Carlos Matheus

arxiv:1802.02454 v2 · 2018-02-06 · math.DS · 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{7WSLLNC2TAOH4JQQX6Z54OC2U2}

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	2026-05-18T00:11:06.229665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fda4b5b45a981c7e2610bfb3de385aa68033f1e2566a8ecfe1d22330715b5c49

Aliases

arxiv: 1802.02454 · arxiv_version: 1802.02454v2 · doi: 10.48550/arxiv.1802.02454 · pith_short_12: 7WSLLNC2TAOH · pith_short_16: 7WSLLNC2TAOH4JQQ · pith_short_8: 7WSLLNC2

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/7WSLLNC2TAOH4JQQX6Z54OC2U2 \
  | 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: fda4b5b45a981c7e2610bfb3de385aa68033f1e2566a8ecfe1d22330715b5c49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5c0c12305dbab1ea081782363abb1533e174781a4a85f1b979748462a910267",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-02-06T10:35:21Z",
    "title_canon_sha256": "c6d4cc7a54a59df087eb90b374d619c0cc08d8dceecbd582c3be1f94fb533865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02454",
    "kind": "arxiv",
    "version": 2
  }
}