Pith Number

pith:EK22MI2Q

pith:2016:EK22MI2QDTGJLOWKRC2CODKGAL

not attested not anchored not stored refs pending

Symmetric Kneser's Theorem with Trios and $3$-Transform

David J. Grynkiewicz, Vsevolod F. Lev

arxiv:1602.02484 v1 · 2016-02-08 · 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{EK22MI2QDTGJLOWKRC2CODKGAL}

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	2026-05-18T01:21:09.760008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22b5a623501ccc95baca88b4270d4602d1ac6b89114fd1ac0a293eeb8d7b0d69

Aliases

arxiv: 1602.02484 · arxiv_version: 1602.02484v1 · doi: 10.48550/arxiv.1602.02484 · pith_short_12: EK22MI2QDTGJ · pith_short_16: EK22MI2QDTGJLOWK · pith_short_8: EK22MI2Q

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/EK22MI2QDTGJLOWKRC2CODKGAL \
  | 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: 22b5a623501ccc95baca88b4270d4602d1ac6b89114fd1ac0a293eeb8d7b0d69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a97d98509bf0cc49394223558365b781524cd41c944904d25053de3b865a1b49",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-08T07:42:27Z",
    "title_canon_sha256": "37a636299b9ca8f267ad555484886f8cf5a533e148bd6e4e7d59c4a063acdf4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02484",
    "kind": "arxiv",
    "version": 1
  }
}