Pith Number

pith:SVT3OKXH

pith:2010:SVT3OKXHIZAXPFR7BMHR35AZ4O

not attested not anchored not stored refs pending

On groups whose geodesic growth is polynomial

Jose Burillo, Martin Bridson, Murray Elder, Zoran Sunic

arxiv:1009.5051 v3 · 2010-09-26 · 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{SVT3OKXHIZAXPFR7BMHR35AZ4O}

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	2026-05-18T03:55:37.653164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9567b72ae7464177963f0b0f1df419e3b5724aa0b95d05dc6955ffac61b9295b

Aliases

arxiv: 1009.5051 · arxiv_version: 1009.5051v3 · doi: 10.48550/arxiv.1009.5051 · pith_short_12: SVT3OKXHIZAX · pith_short_16: SVT3OKXHIZAXPFR7 · pith_short_8: SVT3OKXH

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/SVT3OKXHIZAXPFR7BMHR35AZ4O \
  | 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: 9567b72ae7464177963f0b0f1df419e3b5724aa0b95d05dc6955ffac61b9295b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0be87318df963b24b219e0f57876e412bc9562519a72b5adc3497b6ea32c5146",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-26T02:27:45Z",
    "title_canon_sha256": "66b2b8bf8284f8732f373c0343f78b6d1b237c8197cd7deeea3f5a13b7c1282a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5051",
    "kind": "arxiv",
    "version": 3
  }
}