Pith Number

pith:GUVCPWEW

pith:2011:GUVCPWEWYISJEQH6DYMTICRKRP

not attested not anchored not stored refs pending

Stabilit\'e homologique pour les groupes d'automorphismes des produits libres

Aur\'elien Djament (LMJL), Ga\"el Collinet (IRMA), James Griffin (DPMMS)

arxiv:1109.2686 v1 · 2011-09-13 · math.AT · 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{GUVCPWEWYISJEQH6DYMTICRKRP}

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	2026-05-18T04:13:07.879058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

352a27d896c2249240fe1e19340a2a8bc29b80392d2be390c5d4f4163c220fae

Aliases

arxiv: 1109.2686 · arxiv_version: 1109.2686v1 · doi: 10.48550/arxiv.1109.2686 · pith_short_12: GUVCPWEWYISJ · pith_short_16: GUVCPWEWYISJEQH6 · pith_short_8: GUVCPWEW

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/GUVCPWEWYISJEQH6DYMTICRKRP \
  | 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: 352a27d896c2249240fe1e19340a2a8bc29b80392d2be390c5d4f4163c220fae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "572598a7e15d6c9e9b1e781662bb8e4583643958cc5bb45eb3ef13a0b78a04df",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-09-13T07:19:45Z",
    "title_canon_sha256": "9a66a092be26a1d6139a4ea7f5ea736c8788b0fa2008bc0af1a84c3cdb84d56a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2686",
    "kind": "arxiv",
    "version": 1
  }
}