Pith Number

pith:GKK6BVRH

pith:2021:GKK6BVRHH2BVACWIOUVUULNUSO

not attested not anchored not stored refs pending

Geometric pumping and dephasing at topological phase transition

B. Q. Song, J. D. H. Smith, J. Wang, L. Luo

arxiv:2107.05560 v3 · 2021-07-12 · math-ph · 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{GKK6BVRHH2BVACWIOUVUULNUSO}

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	2026-07-05T03:44:54.692261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3295e0d6273e83500ac8752b4a2db49391995398cf925edb4201b9d195a301a8

Aliases

arxiv: 2107.05560 · arxiv_version: 2107.05560v3 · doi: 10.48550/arxiv.2107.05560 · pith_short_12: GKK6BVRHH2BV · pith_short_16: GKK6BVRHH2BVACWI · pith_short_8: GKK6BVRH

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/GKK6BVRHH2BVACWIOUVUULNUSO \
  | 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: 3295e0d6273e83500ac8752b4a2db49391995398cf925edb4201b9d195a301a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2007a02a69f4463d9e37a0e17f8b5a05b16cfa4b6ff3761804d0e2cf7134859",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-07-12T16:32:18Z",
    "title_canon_sha256": "ba6f36eb363535c6c34f864d1c8c42722ebe67c88a7c392c0799b1dc5ffe2c5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.05560",
    "kind": "arxiv",
    "version": 3
  }
}