Pith Number

pith:C5H73ACB

pith:2017:C5H73ACBUBRDDLMFSOLPXZX4KU

not attested not anchored not stored refs pending

Weighted growth functions of automatic groups

Mikael Vejdemo-Johansson

arxiv:1711.01256 v1 · 2017-11-03 · 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{C5H73ACBUBRDDLMFSOLPXZX4KU}

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	2026-05-18T00:31:23.057545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

174ffd8041a06231ad859396fbe6fc551a5e6cb855751ae97b299445c011babb

Aliases

arxiv: 1711.01256 · arxiv_version: 1711.01256v1 · doi: 10.48550/arxiv.1711.01256 · pith_short_12: C5H73ACBUBRD · pith_short_16: C5H73ACBUBRDDLMF · pith_short_8: C5H73ACB

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/C5H73ACBUBRDDLMFSOLPXZX4KU \
  | 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: 174ffd8041a06231ad859396fbe6fc551a5e6cb855751ae97b299445c011babb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0047de7e75fb6e45f873d28bac063eec032528a0e783341c9d727ed67764307f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-11-03T17:35:42Z",
    "title_canon_sha256": "59e84939f5294238c15947eece4545945dcd23d3fef032294efe401ce2181bec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01256",
    "kind": "arxiv",
    "version": 1
  }
}