Pith Number

pith:GFRDQNED

pith:2016:GFRDQNEDK3PCZJB4XOC6SFXDAU

not attested not anchored not stored refs pending

A note on the acylindrical hyperbolicity of groups acting on CAT(0) cube complexes

Alexandre Martin, Indira Chatterji

arxiv:1610.06864 v3 · 2016-10-21 · 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{GFRDQNEDK3PCZJB4XOC6SFXDAU}

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	2026-05-18T00:24:53.151404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

316238348356de2ca43cbb85e916e305093bf44c17387b8bc96ae58ed39001f5

Aliases

arxiv: 1610.06864 · arxiv_version: 1610.06864v3 · doi: 10.48550/arxiv.1610.06864 · pith_short_12: GFRDQNEDK3PC · pith_short_16: GFRDQNEDK3PCZJB4 · pith_short_8: GFRDQNED

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/GFRDQNEDK3PCZJB4XOC6SFXDAU \
  | 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: 316238348356de2ca43cbb85e916e305093bf44c17387b8bc96ae58ed39001f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aac4354480b94b9e000a6f3c3aa0f3488b6cb67959fdd06bc9e23d67925dee9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-21T17:13:25Z",
    "title_canon_sha256": "eb8f2bf5433bdb3f82350feee281c6be3aa59d86e84d945886293c0458e37466"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06864",
    "kind": "arxiv",
    "version": 3
  }
}