Pith Number

pith:OKWZNK5G

pith:2026:OKWZNK5GDJ3MBCOP23ENROXFEY

not attested not anchored not stored refs pending

Understanding Non-Split 2-Group Symmetry: (3+1)D SymTFT, Anomaly and Bordism

Ran Luo, Yi-Nan Wang, Yi Zhang, Zhenbang Gu

arxiv:2608.08766 v1 · 2026-08-09 · hep-th · cond-mat.str-el · math-ph · math.AT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OKWZNK5GDJ3MBCOP23ENROXFEY}

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	2026-08-11T01:25:16.609666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72ad96aba61a76c089cfd6c8d8bae5261a00615e1b2ff164526cf446c9a342fe

Aliases

arxiv: 2608.08766 · arxiv_version: 2608.08766v1 · doi: 10.48550/arxiv.2608.08766 · pith_short_12: OKWZNK5GDJ3M · pith_short_16: OKWZNK5GDJ3MBCOP · pith_short_8: OKWZNK5G

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/OKWZNK5GDJ3MBCOP23ENROXFEY \
  | 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: 72ad96aba61a76c089cfd6c8d8bae5261a00615e1b2ff164526cf446c9a342fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1db2676c207535c155ec52928fa9389d547383e260715e460b6ddea1cd1b5a33",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.AT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-09T15:28:28Z",
    "title_canon_sha256": "0497fb16a9a4f98b70bb57db61c03aa512f0754052435e841daf27012c0c4315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08766",
    "kind": "arxiv",
    "version": 1
  }
}