Pith Number

pith:MFYBPYTX

pith:2013:MFYBPYTX2UK2EGNVJLMZC5JDH7

not attested not anchored not stored refs pending

Metric characterizations of superreflexivity in terms of word hyperbolic groups and finite graphs

Mikhail Ostrovskii

arxiv:1312.4627 v1 · 2013-12-17 · math.MG · math.CO · math.FA · 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{MFYBPYTX2UK2EGNVJLMZC5JDH7}

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	2026-05-18T02:50:31.190163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

617017e277d515a219b54ad99175233fde965e0b0874ab5252498b7545581321

Aliases

arxiv: 1312.4627 · arxiv_version: 1312.4627v1 · doi: 10.48550/arxiv.1312.4627 · pith_short_12: MFYBPYTX2UK2 · pith_short_16: MFYBPYTX2UK2EGNV · pith_short_8: MFYBPYTX

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/MFYBPYTX2UK2EGNVJLMZC5JDH7 \
  | 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: 617017e277d515a219b54ad99175233fde965e0b0874ab5252498b7545581321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d66de44e9b658501618f9fbca8e1b4b28cdf18bdb7d5511606b0ca6bc9153d49",
    "cross_cats_sorted": [
      "math.CO",
      "math.FA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-12-17T03:41:21Z",
    "title_canon_sha256": "e4602980524f2cdfaa35033e3b2e14524569e4a22c0199f62a099628385755ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4627",
    "kind": "arxiv",
    "version": 1
  }
}