Pith Number

pith:C43ZQJPR

pith:2011:C43ZQJPR2RD23XUNZ2DEGOKHD6

not attested not anchored not stored refs pending

Groups of Oscillating Intermediate Growth

Igor Pak, Martin Kassabov

arxiv:1108.0262 v1 · 2011-08-01 · 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{C43ZQJPR2RD23XUNZ2DEGOKHD6}

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	2026-05-18T04:16:31.384121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17379825f1d447adde8dce864339471fb428402974bb462ceebcbf87df025462

Aliases

arxiv: 1108.0262 · arxiv_version: 1108.0262v1 · doi: 10.48550/arxiv.1108.0262 · pith_short_12: C43ZQJPR2RD2 · pith_short_16: C43ZQJPR2RD23XUN · pith_short_8: C43ZQJPR

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/C43ZQJPR2RD23XUNZ2DEGOKHD6 \
  | 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: 17379825f1d447adde8dce864339471fb428402974bb462ceebcbf87df025462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5098cf0b88be6ae68569d5f283b3bc9608d3907545abf404ba37a2e0666ec36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-01T08:48:24Z",
    "title_canon_sha256": "939767193607ef32a6fe19b08782c347e6b2b50661877e23dac88eeda38b2e65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0262",
    "kind": "arxiv",
    "version": 1
  }
}