Pith Number

pith:7UWWTDZA

pith:2026:7UWWTDZAGTEOKVN2QKJC6M6THL

not attested not anchored not stored refs pending

On the BNSR invariants of link groups

Yuta Nozaki

arxiv:2606.02978 v1 · 2026-06-02 · math.GT · 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{7UWWTDZAGTEOKVN2QKJC6M6THL}

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	2026-06-03T01:05:28.345087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2d698f2034c8e555ba82922f33d33afa7ddede4839e2f0decfa5daea44042b

Aliases

arxiv: 2606.02978 · arxiv_version: 2606.02978v1 · doi: 10.48550/arxiv.2606.02978 · pith_short_12: 7UWWTDZAGTEO · pith_short_16: 7UWWTDZAGTEOKVN2 · pith_short_8: 7UWWTDZA

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/7UWWTDZAGTEOKVN2QKJC6M6THL \
  | 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: fd2d698f2034c8e555ba82922f33d33afa7ddede4839e2f0decfa5daea44042b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6123ddb8e7a20311e04ed3eb7ebc2d4af83099cfeb4cacc9bb09ea45baa741d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-02T00:33:42Z",
    "title_canon_sha256": "3db07b970af2a7bf04a1f3918f44a952bb056e11deb223d83840df1db9a063c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02978",
    "kind": "arxiv",
    "version": 1
  }
}