pith. sign in
Pith Number

pith:D5DAAXDS

pith:2015:D5DAAXDSHCZF7QLVR3HDKBGGFS
not attested not anchored not stored refs pending

Bundle gerbes for topological insulators

Krzysztof Gawedzki

arxiv:1512.01028 v1 · 2015-12-03 · math-ph · cond-mat.mes-hall · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D5DAAXDSHCZF7QLVR3HDKBGGFS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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 2026-05-18T01:25:23.562046Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1f46005c7238b25fc1758ece3504c62c966153746398a522e512a9c1f61be812

Aliases

arxiv: 1512.01028 · arxiv_version: 1512.01028v1 · doi: 10.48550/arxiv.1512.01028 · pith_short_12: D5DAAXDSHCZF · pith_short_16: D5DAAXDSHCZF7QLV · pith_short_8: D5DAAXDS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D5DAAXDSHCZF7QLVR3HDKBGGFS \
  | 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: 1f46005c7238b25fc1758ece3504c62c966153746398a522e512a9c1f61be812
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4ab25f719389900b565cdec3a9f3b07ba43491575aca067c56514cb0418d995a",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-03T10:39:04Z",
    "title_canon_sha256": "b282f42f240ca697bcf6fc1f9feacf7b7ba331f303f4e482a734b48f53f3d4a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01028",
    "kind": "arxiv",
    "version": 1
  }
}