Pith Number

pith:EPFOLV2J

pith:2013:EPFOLV2JZNFBYUUMU74RHFA37F

not attested not anchored not stored refs pending

Commability of groups quasi-isometric to trees

Mathieu Carette

arxiv:1312.0278 v2 · 2013-12-01 · math.GR · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPFOLV2JZNFBYUUMU74RHFA37F}

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	2026-05-18T02:31:04.017333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23cae5d749cb4a1c528ca7f913941bf970fc963153a996606174657894e8c395

Aliases

arxiv: 1312.0278 · arxiv_version: 1312.0278v2 · doi: 10.48550/arxiv.1312.0278 · pith_short_12: EPFOLV2JZNFB · pith_short_16: EPFOLV2JZNFBYUUM · pith_short_8: EPFOLV2J

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/EPFOLV2JZNFBYUUMU74RHFA37F \
  | 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: 23cae5d749cb4a1c528ca7f913941bf970fc963153a996606174657894e8c395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0ca093de2391d97fb2def9e7969801688404cff320a99f197b0ea3a40cd3900",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-01T21:49:43Z",
    "title_canon_sha256": "da52f2deb56cbfd76f553bc5b355b3a11fe85cd5802663a5f94b3da150b03053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0278",
    "kind": "arxiv",
    "version": 2
  }
}