Pith Number

pith:4Q27ZXGQ

pith:2015:4Q27ZXGQ4JOUL7AEDKCOKVT53Z

not attested not anchored not stored refs pending

Non ambiguous structures on 3-manifolds and quantum symmetry defects

Riccardo Benedetti, St\'ephane Baseilhac

arxiv:1506.01174 v2 · 2015-06-03 · 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{4Q27ZXGQ4JOUL7AEDKCOKVT53Z}

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	2026-05-18T01:03:44.456092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e435fcdcd0e25d45fc041a84e5567dde58b84a6d6276abbd66755161d80420d3

Aliases

arxiv: 1506.01174 · arxiv_version: 1506.01174v2 · doi: 10.48550/arxiv.1506.01174 · pith_short_12: 4Q27ZXGQ4JOU · pith_short_16: 4Q27ZXGQ4JOUL7AE · pith_short_8: 4Q27ZXGQ

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/4Q27ZXGQ4JOUL7AEDKCOKVT53Z \
  | 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: e435fcdcd0e25d45fc041a84e5567dde58b84a6d6276abbd66755161d80420d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fc9cfad2617931a81e8b4ab6059d71d3540b76be73c72cda2398636a00a111c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-03T09:26:59Z",
    "title_canon_sha256": "1a2a132d761ad1d1e260b6190dcf2a541200602daf3371b1f9733114ea9081fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01174",
    "kind": "arxiv",
    "version": 2
  }
}