Pith Number

pith:KTVMCJDF

pith:2026:KTVMCJDFBSPVBNTCRLBG3AAS3D

not attested not anchored not stored refs pending

Consistent symmetry breaking and topological phases

Guo Chuan Thiang, Yuezhao Li

arxiv:2607.28181 v1 · 2026-07-30 · math-ph · cond-mat.mes-hall · math.KT · math.MG · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTVMCJDFBSPVBNTCRLBG3AAS3D}

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	2026-07-31T01:36:21.846565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

54eac124650c9f50b6628ac26d8012d8fd855ba3a2d064721273bf13ed6f943c

Aliases

arxiv: 2607.28181 · arxiv_version: 2607.28181v1 · doi: 10.48550/arxiv.2607.28181 · pith_short_12: KTVMCJDFBSPV · pith_short_16: KTVMCJDFBSPVBNTC · pith_short_8: KTVMCJDF

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/KTVMCJDFBSPVBNTCRLBG3AAS3D \
  | 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: 54eac124650c9f50b6628ac26d8012d8fd855ba3a2d064721273bf13ed6f943c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f17877b840a2434a04c595c50b5f40a87b3b6ff726126d6865d8fb4c0bbe460",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math.KT",
      "math.MG",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-30T13:19:17Z",
    "title_canon_sha256": "a1df904d8c4748c11fd26f08c0ceb63cd5ff7e4ae03a9f6224a9c12f71abcbdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28181",
    "kind": "arxiv",
    "version": 1
  }
}