Pith Number

pith:OL5UR4VR

pith:2016:OL5UR4VRHP35PRTDKWVBJ5RMRS

not attested not anchored not stored refs pending

Bulk-edge correspondence, spectral flow and Atiyah-Patodi-Singer theorem for the Z2-invariant in topological insulators

XinCheng Xie, Yong-Shi Wu, Yue Yu

arxiv:1607.02345 v2 · 2016-07-08 · cond-mat.mes-hall

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

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.

Cited by

1 paper in Pith

Capturing the Atiyah-Patodi-Singer index from the lattice

Receipt and verification

First computed	2026-05-18T00:50:19.778392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72fb48f2b13bf7d7c66355aa14f62c8cbe02cbda586d07c7965e468c0b7003ce

Aliases

arxiv: 1607.02345 · arxiv_version: 1607.02345v2 · doi: 10.48550/arxiv.1607.02345 · pith_short_12: OL5UR4VRHP35 · pith_short_16: OL5UR4VRHP35PRTD · pith_short_8: OL5UR4VR

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/OL5UR4VRHP35PRTDKWVBJ5RMRS \
  | 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: 72fb48f2b13bf7d7c66355aa14f62c8cbe02cbda586d07c7965e468c0b7003ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "088536c76b39135a5fdff5285a10ce31c514543d7da7dee33d3683d6b58e3901",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2016-07-08T12:51:31Z",
    "title_canon_sha256": "6dc450ad77e7c8dda5ac6708fc2d6d782008ece100b166b553bf9224b276e566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02345",
    "kind": "arxiv",
    "version": 2
  }
}