Pith Number

pith:TE52LBIA

pith:2009:TE52LBIAJOUUKCYN6N5NAK6QKW

not attested not anchored not stored refs pending

Actions of Maximal Growth

Alexander Olshanskii, Yuri Bahturin

arxiv:0901.0566 v1 · 2009-01-05 · math.GR · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TE52LBIAJOUUKCYN6N5NAK6QKW}

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	2026-05-18T02:58:10.816649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

993ba585004ba9450b0df37ad02bd0559d2f1038d25ac0f7f72206b3295832bf

Aliases

arxiv: 0901.0566 · arxiv_version: 0901.0566v1 · doi: 10.48550/arxiv.0901.0566 · pith_short_12: TE52LBIAJOUU · pith_short_16: TE52LBIAJOUUKCYN · pith_short_8: TE52LBIA

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/TE52LBIAJOUUKCYN6N5NAK6QKW \
  | 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: 993ba585004ba9450b0df37ad02bd0559d2f1038d25ac0f7f72206b3295832bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51ea300e7278c2f49988aac4337ee044b198c134b0b2d173093403f24d97711f",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-01-05T21:53:31Z",
    "title_canon_sha256": "8eb7057f350d7638f62c4bffef9a2adc9eed1d6088225410f2e3da25868138b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0566",
    "kind": "arxiv",
    "version": 1
  }
}