Pith Number

pith:6OLPVFWP

pith:2010:6OLPVFWP7JDYYTS7FNZDBLLRJU

not attested not anchored not stored refs pending

Approximate Representations and Approximate Homomorphisms

Alexander Russell, Cristopher Moore

arxiv:1009.6230 v1 · 2010-09-30 · math.RT · cs.DM · math.GR · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6OLPVFWP7JDYYTS7FNZDBLLRJU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:40:00.849733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f396fa96cffa478c4e5f2b7230ad714d31304bd7c6c93005db67f4caa9509b74

Aliases

arxiv: 1009.6230 · arxiv_version: 1009.6230v1 · doi: 10.48550/arxiv.1009.6230 · pith_short_12: 6OLPVFWP7JDY · pith_short_16: 6OLPVFWP7JDYYTS7 · pith_short_8: 6OLPVFWP

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/6OLPVFWP7JDYYTS7FNZDBLLRJU \
  | 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: f396fa96cffa478c4e5f2b7230ad714d31304bd7c6c93005db67f4caa9509b74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eeca8024dc4927d3004bf0fa2cf247cfec7ccbe05bea8f37a51c7fa92f51959",
    "cross_cats_sorted": [
      "cs.DM",
      "math.GR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-09-30T19:49:01Z",
    "title_canon_sha256": "6a202cef23fc46e38efdb3a8a2cfcf4a3e4ebb6649ce64a257c82228355f07e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.6230",
    "kind": "arxiv",
    "version": 1
  }
}