Pith Number

pith:4UXK2V5Y

pith:2018:4UXK2V5YJPLHW5QF5SLOYJCRQ7

not attested not anchored not stored refs pending

Locality and the Uniqueness of Quantum Invariants

Charles Frohman

arxiv:1806.09391 v2 · 2018-06-25 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UXK2V5YJPLHW5QF5SLOYJCRQ7}

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	2026-05-18T00:12:23.958706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e52ead57b84bd67b7605ec96ec245187e8124e1322ae6d7009bc17ecd058bd0d

Aliases

arxiv: 1806.09391 · arxiv_version: 1806.09391v2 · doi: 10.48550/arxiv.1806.09391 · pith_short_12: 4UXK2V5YJPLH · pith_short_16: 4UXK2V5YJPLHW5QF · pith_short_8: 4UXK2V5Y

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/4UXK2V5YJPLHW5QF5SLOYJCRQ7 \
  | 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: e52ead57b84bd67b7605ec96ec245187e8124e1322ae6d7009bc17ecd058bd0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e8920443c0a752324a68f5a8b6f569f62c3c4856d38f4fd1a85f8239a269c70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-06-25T11:32:26Z",
    "title_canon_sha256": "e9486dc0c2852c1be78bf92c5039012cb0d15c645c6031b2efe38523923a71a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09391",
    "kind": "arxiv",
    "version": 2
  }
}