Pith Number

pith:6JOL7XU5

pith:2014:6JOL7XU5PRARQWIMT3EWGGG5YM

not attested not anchored not stored refs pending

Systolic growth of linear groups

Khalid Bou-Rabee, Yves Cornulier

arxiv:1408.5837 v1 · 2014-08-25 · 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{6JOL7XU5PRARQWIMT3EWGGG5YM}

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	2026-05-18T01:19:34.507949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f25cbfde9d7c4118590c9ec96318ddc305177bd57a7a61bc866345785a9a296e

Aliases

arxiv: 1408.5837 · arxiv_version: 1408.5837v1 · doi: 10.48550/arxiv.1408.5837 · pith_short_12: 6JOL7XU5PRAR · pith_short_16: 6JOL7XU5PRARQWIM · pith_short_8: 6JOL7XU5

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/6JOL7XU5PRARQWIMT3EWGGG5YM \
  | 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: f25cbfde9d7c4118590c9ec96318ddc305177bd57a7a61bc866345785a9a296e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e33e0b6101c58fdabce7580021ec2643ff5cb1f705ae2d472af5bbf1cecb9adf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-08-25T17:25:39Z",
    "title_canon_sha256": "7aabdb6eacb9537f1b83f3b5243b5007629790808cc966375affa27b5a9b8034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5837",
    "kind": "arxiv",
    "version": 1
  }
}