Pith Number

pith:UJZ2EG32

pith:2010:UJZ2EG32UY3JXXWVNAHWPNFHA5

not attested not anchored not stored refs pending

Outer automorphisms of free Burnside groups

R\'emi Coulon

arxiv:1008.4495 v2 · 2010-08-26 · 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{UJZ2EG32UY3JXXWVNAHWPNFHA5}

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	2026-05-18T01:13:05.319090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a273a21b7aa6369bded5680f67b4a7074b7ed9ceae1eee751d6a6cf387ae6690

Aliases

arxiv: 1008.4495 · arxiv_version: 1008.4495v2 · doi: 10.48550/arxiv.1008.4495 · pith_short_12: UJZ2EG32UY3J · pith_short_16: UJZ2EG32UY3JXXWV · pith_short_8: UJZ2EG32

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/UJZ2EG32UY3JXXWVNAHWPNFHA5 \
  | 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: a273a21b7aa6369bded5680f67b4a7074b7ed9ceae1eee751d6a6cf387ae6690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f08dc080819a35477831d4fa5a7920040b4e34d9861bb15172b63e7f5980cc15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-26T12:41:57Z",
    "title_canon_sha256": "f6881d2821b5e018660782e7792f244ad34c21377558c1c091302c935c159bae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4495",
    "kind": "arxiv",
    "version": 2
  }
}