Pith Number

pith:CH55N3WV

pith:2015:CH55N3WV5ASFMXYZE7ZECFRE5B

not attested not anchored not stored refs pending

A Schur multiplier characterization of coarse embeddability

Kang Li, S{\o}ren Knudby

arxiv:1505.01364 v1 · 2015-05-06 · 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{CH55N3WV5ASFMXYZE7ZECFRE5B}

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	2026-05-18T01:04:33.335523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11fbd6eed5e824565f1927f2411624e87b6611f7f47ad08b28a16191e9fa8e06

Aliases

arxiv: 1505.01364 · arxiv_version: 1505.01364v1 · doi: 10.48550/arxiv.1505.01364 · pith_short_12: CH55N3WV5ASF · pith_short_16: CH55N3WV5ASFMXYZ · pith_short_8: CH55N3WV

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/CH55N3WV5ASFMXYZE7ZECFRE5B \
  | 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: 11fbd6eed5e824565f1927f2411624e87b6611f7f47ad08b28a16191e9fa8e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e9e7b0d7ced41d7df1668d4270f443955b83270b517b358e494711e14a145a3",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-05-06T13:47:52Z",
    "title_canon_sha256": "9bd6ed77821ebb0c6edef8a55b5102db02825714fe1e2dc32fb846eb7ecac430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01364",
    "kind": "arxiv",
    "version": 1
  }
}