Pith Number

pith:L5TYUVMS

pith:2026:L5TYUVMSLH6SHXLT3QEYSALHLL

not attested not anchored not stored refs pending

Quantum invariants of flat 2-bundles over 3-manifolds

Alexis Virelizier, Kursat Sozer

arxiv:2605.22405 v1 · 2026-05-21 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5TYUVMSLH6SHXLT3QEYSALHLL}

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	2026-05-22T01:04:41.930303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f678a559259fd23dd73dc098901675aed94d45415792b98834e9fbe51ab4c7a

Aliases

arxiv: 2605.22405 · arxiv_version: 2605.22405v1 · doi: 10.48550/arxiv.2605.22405 · pith_short_12: L5TYUVMSLH6S · pith_short_16: L5TYUVMSLH6SHXLT · pith_short_8: L5TYUVMS

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/L5TYUVMSLH6SHXLT3QEYSALHLL \
  | 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: 5f678a559259fd23dd73dc098901675aed94d45415792b98834e9fbe51ab4c7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aec493d9071dbe542dafc56f3402c98ab4957d9d7677cfb17f7f8316ad4d685f",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-21T12:32:55Z",
    "title_canon_sha256": "1a98bfd0eacdc15ff788800186320c5074882cc3337e6c49e602c2b3a363903b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22405",
    "kind": "arxiv",
    "version": 1
  }
}