Pith. sign in
Pith Number

pith:IAAV4WLY

pith:2022:IAAV4WLYRKYUS7IIBBPDTJ65LN
not attested not anchored not stored refs pending

Gaplessness protected by bulk-edge correspondence

Yoshiki Fukusumi

arxiv:2212.12996 v3 · 2022-12-26 · cond-mat.str-el · hep-th · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IAAV4WLYRKYUS7IIBBPDTJ65LN}

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.

Cited by

2 papers in Pith

Receipt and verification
First computed 2026-07-05T07:33:48.565676Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

40015e59788ab1497d08085e39a7dd5b699add36cf60d477131f7714b2111ec9

Aliases

arxiv: 2212.12996 · arxiv_version: 2212.12996v3 · doi: 10.48550/arxiv.2212.12996 · pith_short_12: IAAV4WLYRKYU · pith_short_16: IAAV4WLYRKYUS7II · pith_short_8: IAAV4WLY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IAAV4WLYRKYUS7IIBBPDTJ65LN \
  | 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: 40015e59788ab1497d08085e39a7dd5b699add36cf60d477131f7714b2111ec9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a42a4b88acd7b2b8d8c6e01ec4641ccbdf949c8867a35729c538f70273958f81",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2022-12-26T02:58:05Z",
    "title_canon_sha256": "09c875fe8e32a1a31e0445de6a168a845d1406aae520d0e0f083505ecc2887cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.12996",
    "kind": "arxiv",
    "version": 3
  }
}