Pith Number

pith:4XK6V2IJ

pith:2026:4XK6V2IJLQLBHMIZN56MKDZTU4

not attested not anchored not stored refs pending

Classical Symmetry TFTs for Continuous Symmetries via Higher Symplectic Geometry

Hao Xu

arxiv:2606.03368 v1 · 2026-06-02 · math-ph · math.CT · math.MP · math.QA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XK6V2IJLQLBHMIZN56MKDZTU4}

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	2026-06-03T01:05:56.084258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d5eae9095c1613b1196f7cc50f33a72b4151ffba64483772c67468f3bd43d8

Aliases

arxiv: 2606.03368 · arxiv_version: 2606.03368v1 · doi: 10.48550/arxiv.2606.03368 · pith_short_12: 4XK6V2IJLQLB · pith_short_16: 4XK6V2IJLQLBHMIZ · pith_short_8: 4XK6V2IJ

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/4XK6V2IJLQLBHMIZN56MKDZTU4 \
  | 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: e5d5eae9095c1613b1196f7cc50f33a72b4151ffba64483772c67468f3bd43d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8654b0f01aaff86e6ad1651e5f644a46f02d56f9e84846b3c02bc2c686761cd4",
    "cross_cats_sorted": [
      "math.CT",
      "math.MP",
      "math.QA",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-02T09:15:25Z",
    "title_canon_sha256": "67424b7974fd2ac99f00aebb690cf0fc763d829e0638ce41aed285c4fd2058a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03368",
    "kind": "arxiv",
    "version": 1
  }
}