Pith Number

pith:PS3E4A5W

pith:2011:PS3E4A5WCNMLMYYFZYMN267BGM

not attested not anchored not stored refs pending

An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection

Andrei Bernevig, Rui Yu, Xiao Liang Qi, Xi Dai, Zhong Fang

arxiv:1101.2011 v1 · 2011-01-11 · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PS3E4A5WCNMLMYYFZYMN267BGM}

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	2026-05-18T02:22:59.030486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cb64e03b61358b66305ce18dd7be133079268b7f0fe783c4b4ed3a8c0cb0ded

Aliases

arxiv: 1101.2011 · arxiv_version: 1101.2011v1 · doi: 10.48550/arxiv.1101.2011 · pith_short_12: PS3E4A5WCNML · pith_short_16: PS3E4A5WCNMLMYYF · pith_short_8: PS3E4A5W

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/PS3E4A5WCNMLMYYFZYMN267BGM \
  | 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: 7cb64e03b61358b66305ce18dd7be133079268b7f0fe783c4b4ed3a8c0cb0ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4897c75da786886591f5c54078bcef22ee5ed2f6b3cdeb23bffcf61cd01cfdbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2011-01-11T03:20:58Z",
    "title_canon_sha256": "7fb12e20f7c4381b3263c4e206a1c287dfb8960e32ae29081825fd41be77c638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2011",
    "kind": "arxiv",
    "version": 1
  }
}