Pith Number

pith:OWJ7WHUE

pith:2011:OWJ7WHUEFKUVXGIOZJ73RYYHI4

not attested not anchored not stored refs pending

Some explicit computations and models of free products

Madhushree Basu

arxiv:1111.6183 v1 · 2011-11-26 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OWJ7WHUEFKUVXGIOZJ73RYYHI4}

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	2026-05-18T04:07:31.626401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7593fb1e842aa95b990eca7fb8e3074718d39c17cc9aaf57764a89b3eb1dca3d

Aliases

arxiv: 1111.6183 · arxiv_version: 1111.6183v1 · doi: 10.48550/arxiv.1111.6183 · pith_short_12: OWJ7WHUEFKUV · pith_short_16: OWJ7WHUEFKUVXGIO · pith_short_8: OWJ7WHUE

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/OWJ7WHUEFKUVXGIOZJ73RYYHI4 \
  | 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: 7593fb1e842aa95b990eca7fb8e3074718d39c17cc9aaf57764a89b3eb1dca3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35f681e571ed745f2faadeae57c8f13a1382371b38f4fce2da1a73c75e052329",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-11-26T18:46:28Z",
    "title_canon_sha256": "f2a3c467c8ee4a3e61a37c3996d350531eac9f5a7f61d04b80a49c646b6a0173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6183",
    "kind": "arxiv",
    "version": 1
  }
}