Pith Number

pith:OT3S7N2I

pith:2013:OT3S7N2IDF74POT2JQMTDUTUUT

not attested not anchored not stored refs pending

Growth and order of automorphisms of free groups and free Burnside groups

Arnaud Hilion, R\'emi Coulon

arxiv:1309.3981 v1 · 2013-09-16 · 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{OT3S7N2IDF74POT2JQMTDUTUUT}

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	2026-05-18T00:42:33.711034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74f72fb748197fc7ba7a4c1931d274a4d645d7d9c5c16890df9fa376114b37e4

Aliases

arxiv: 1309.3981 · arxiv_version: 1309.3981v1 · doi: 10.48550/arxiv.1309.3981 · pith_short_12: OT3S7N2IDF74 · pith_short_16: OT3S7N2IDF74POT2 · pith_short_8: OT3S7N2I

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/OT3S7N2IDF74POT2JQMTDUTUUT \
  | 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: 74f72fb748197fc7ba7a4c1931d274a4d645d7d9c5c16890df9fa376114b37e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8ea4dd7e9f6d6ab6c3db044de1830fda204e84491c124c1d4b0e3e023682e4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-16T14:40:16Z",
    "title_canon_sha256": "0ae73357f8c312acef586a7a3c54dafaca50a504415856600d760c38019e2f52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3981",
    "kind": "arxiv",
    "version": 1
  }
}