Pith Number

pith:QYVF2OEG

pith:2015:QYVF2OEG4KNZBSRQF5ADMUGDJU

not attested not anchored not stored refs pending

Controlled topological phases and bulk-edge correspondence

Yosuke Kubota

arxiv:1511.05314 v4 · 2015-11-17 · math-ph · math.KT · 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{QYVF2OEG4KNZBSRQF5ADMUGDJU}

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	2026-05-18T01:10:52.058809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

862a5d3886e29b90ca302f403650c34d01077a7b6d551126527b6f52232e4bd1

Aliases

arxiv: 1511.05314 · arxiv_version: 1511.05314v4 · doi: 10.48550/arxiv.1511.05314 · pith_short_12: QYVF2OEG4KNZ · pith_short_16: QYVF2OEG4KNZBSRQ · pith_short_8: QYVF2OEG

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/QYVF2OEG4KNZBSRQF5ADMUGDJU \
  | 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: 862a5d3886e29b90ca302f403650c34d01077a7b6d551126527b6f52232e4bd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c281c0f53ad15a45af372d1648ac58157f80a77a56fe2199e3108d86c53abc57",
    "cross_cats_sorted": [
      "math.KT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-17T09:05:16Z",
    "title_canon_sha256": "13bf9187787289e253834572be6452d43e2f645cba74ff436cb1ef72f971afa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05314",
    "kind": "arxiv",
    "version": 4
  }
}