Pith Number

pith:TKZ3NQID

pith:2026:TKZ3NQID2V7IBCME4T4R27S75U

not attested not anchored not stored refs pending

The shifted symplectic geometry of derived higher groupoids

Chenchang Zhu, Florian Dorsch, Miquel Cueca, Reyer Sjamaar

arxiv:2607.17362 v1 · 2026-07-19 · math.SG · math.CT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKZ3NQID2V7IBCME4T4R27S75U}

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	2026-07-21T01:21:29.689565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ab3b6c103d57e808984e4f91d7e5fed15e41a1022a7ae21573696515b072404

Aliases

arxiv: 2607.17362 · arxiv_version: 2607.17362v1 · doi: 10.48550/arxiv.2607.17362 · pith_short_12: TKZ3NQID2V7I · pith_short_16: TKZ3NQID2V7IBCME · pith_short_8: TKZ3NQID

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/TKZ3NQID2V7IBCME4T4R27S75U \
  | 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: 9ab3b6c103d57e808984e4f91d7e5fed15e41a1022a7ae21573696515b072404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70ce6aef1babca57c81bb8c6f1cde5978144d87a9533c5fd30b1e3a7a13380a9",
    "cross_cats_sorted": [
      "math.CT",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-07-19T18:04:25Z",
    "title_canon_sha256": "5580deb231d5c5d239f7c794753baf19d780de9f8b182c367f8c1f531752d3a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17362",
    "kind": "arxiv",
    "version": 1
  }
}