Pith Number

pith:AMVAEXPN

pith:2007:AMVAEXPNY3C4E6KT4UKZUJRB7N

not attested not anchored not stored refs pending

Finitely generated groups with polynomial index growth

Dan Segal, Laszlo Pyber

arxiv:0711.0687 v1 · 2007-11-05 · 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{AMVAEXPNY3C4E6KT4UKZUJRB7N}

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	2026-05-18T04:00:49.745668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

032a025dedc6c5c27953e5159a2621fb6d19340332d4f37b0fcf988ecddefac1

Aliases

arxiv: 0711.0687 · arxiv_version: 0711.0687v1 · doi: 10.48550/arxiv.0711.0687 · pith_short_12: AMVAEXPNY3C4 · pith_short_16: AMVAEXPNY3C4E6KT · pith_short_8: AMVAEXPN

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/AMVAEXPNY3C4E6KT4UKZUJRB7N \
  | 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: 032a025dedc6c5c27953e5159a2621fb6d19340332d4f37b0fcf988ecddefac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2820d412d4f5c7eb0339e91b3e621277caa60377efd94f5117b936486048b2f4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-11-05T16:52:48Z",
    "title_canon_sha256": "ab948fc6bd9ca460fbd107d8032088510067795de4b3a10448c42c371d790b41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0687",
    "kind": "arxiv",
    "version": 1
  }
}