Pith Number

pith:BFQ4MPKN

pith:2016:BFQ4MPKNHZWAZTDVTOUMJUJIAG

not attested not anchored not stored refs pending

Many-body topological invariants in fermionic symmetry protected topological phases: Cases of point group symmetries

Hassan Shapourian, Ken Shiozaki, Shinsei Ryu

arxiv:1609.05970 v2 · 2016-09-19 · cond-mat.str-el · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFQ4MPKNHZWAZTDVTOUMJUJIAG}

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	2026-05-18T00:42:44.181156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0961c63d4d3e6c0ccc759ba8c4d128019d9f940ebf85adbc11067e328f8de59c

Aliases

arxiv: 1609.05970 · arxiv_version: 1609.05970v2 · doi: 10.48550/arxiv.1609.05970 · pith_short_12: BFQ4MPKNHZWA · pith_short_16: BFQ4MPKNHZWAZTDV · pith_short_8: BFQ4MPKN

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/BFQ4MPKNHZWAZTDVTOUMJUJIAG \
  | 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: 0961c63d4d3e6c0ccc759ba8c4d128019d9f940ebf85adbc11067e328f8de59c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa8e36a9c2afdc20f816af12b672b9405fde7d4b5defe391443f6c02ba9b2b33",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2016-09-19T23:31:49Z",
    "title_canon_sha256": "9e676108f6fcd3df51620a3d9d3bf1fd17a256a2916bb57a4b795b5cef51e032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05970",
    "kind": "arxiv",
    "version": 2
  }
}