Pith Number

pith:BNLFRY7C

pith:2018:BNLFRY7CXVCPYZPODOO5YR5F52

not attested not anchored not stored refs pending

Commutators close to the identity

Terence Tao

arxiv:1805.11131 v3 · 2018-05-28 · 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{BNLFRY7CXVCPYZPODOO5YR5F52}

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	2026-05-18T00:05:19.211905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b5658e3e2bd44fc65ee1b9ddc47a5ee86fb79dfb0b14b58d42a44f2d66c5db4

Aliases

arxiv: 1805.11131 · arxiv_version: 1805.11131v3 · doi: 10.48550/arxiv.1805.11131 · pith_short_12: BNLFRY7CXVCP · pith_short_16: BNLFRY7CXVCPYZPO · pith_short_8: BNLFRY7C

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/BNLFRY7CXVCPYZPODOO5YR5F52 \
  | 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: 0b5658e3e2bd44fc65ee1b9ddc47a5ee86fb79dfb0b14b58d42a44f2d66c5db4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "473768e6a64167f9adf9cb99cdb70aa93596544092cb405671fd0c6c0e125e58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-05-28T19:01:38Z",
    "title_canon_sha256": "f55e41c81f17cda4b969f96781795bb3a55ae22cd57c313d8be5e73b47d08f9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11131",
    "kind": "arxiv",
    "version": 3
  }
}