Pith Number

pith:VTREHA7U

pith:2026:VTREHA7UJZUGHS4IKMR33S3IWN

not attested not anchored not stored refs pending

Geometric bulk-edge correspondence for $\mathbb{Z}_2$-topological insulators

Alexis Drouot, Jacob Shapiro, Xiaowen Zhu

arxiv:2606.27318 v1 · 2026-06-25 · math-ph · math.MP · math.SP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTREHA7UJZUGHS4IKMR33S3IWN}

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	2026-06-26T01:16:18.547418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace24383f44e6863cb885323bdcb68b37ed3000e24f93a09978f70f9d13b2307

Aliases

arxiv: 2606.27318 · arxiv_version: 2606.27318v1 · doi: 10.48550/arxiv.2606.27318 · pith_short_12: VTREHA7UJZUG · pith_short_16: VTREHA7UJZUGHS4I · pith_short_8: VTREHA7U

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/VTREHA7UJZUGHS4IKMR33S3IWN \
  | 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: ace24383f44e6863cb885323bdcb68b37ed3000e24f93a09978f70f9d13b2307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68b6d20e28abfd18af935d0ae0e730f46fae6da08500364f4e0ec20d50e9dc9c",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-25T17:31:56Z",
    "title_canon_sha256": "2774423a60e361905e23d0be83c48ca025d649fc719eea0ce032bbed565b5a85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27318",
    "kind": "arxiv",
    "version": 1
  }
}