Pith Number

pith:TN7Q6EUK

pith:2013:TN7Q6EUKMIWGMB33YLSW3HJ6OU

not attested not anchored not stored refs pending

On the Distribution of Values of Certain Word Maps

Aner Shalev, Michael Larsen

arxiv:1308.1286 v1 · 2013-08-06 · 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{TN7Q6EUKMIWGMB33YLSW3HJ6OU}

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	2026-05-18T03:16:39.263033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b7f0f128a622c66077bc2e56d9d3e750a987bf2aea1573a79b0314c2d40949b

Aliases

arxiv: 1308.1286 · arxiv_version: 1308.1286v1 · doi: 10.48550/arxiv.1308.1286 · pith_short_12: TN7Q6EUKMIWG · pith_short_16: TN7Q6EUKMIWGMB33 · pith_short_8: TN7Q6EUK

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/TN7Q6EUKMIWGMB33YLSW3HJ6OU \
  | 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: 9b7f0f128a622c66077bc2e56d9d3e750a987bf2aea1573a79b0314c2d40949b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8750449ed901491bdf6f57064fc434f598547d058e65d5eb930f267ecb99b9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-08-06T14:41:42Z",
    "title_canon_sha256": "050c5fa4f0c066a3ac7aa96606db0591340759d4faebe0b611f2122e03d8f4a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1286",
    "kind": "arxiv",
    "version": 1
  }
}