Pith Number

pith:U36MG4MQ

pith:2025:U36MG4MQR3QLXFCP74WQ3DZ7GK

not attested not anchored not stored refs pending

Exact new mobility edges

Qi Zhou, Yongjian Wang

arxiv:2501.17523 v1 · 2025-01-29 · math.DS · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U36MG4MQR3QLXFCP74WQ3DZ7GK}

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

1 paper in Pith

Cantor Spectrum via a Reducibility-Duality Bridge for the Mosaic Almost Mathieu Operator

Receipt and verification

First computed	2026-07-05T10:06:54.489270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6fcc371908ee0bb944fff2d0d8f3f32a16e957fdbdbe090dc60c0b0eeb125b5

Aliases

arxiv: 2501.17523 · arxiv_version: 2501.17523v1 · doi: 10.48550/arxiv.2501.17523 · pith_short_12: U36MG4MQR3QL · pith_short_16: U36MG4MQR3QLXFCP · pith_short_8: U36MG4MQ

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/U36MG4MQR3QLXFCP74WQ3DZ7GK \
  | 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: a6fcc371908ee0bb944fff2d0d8f3f32a16e957fdbdbe090dc60c0b0eeb125b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "315cb046e3a73f1d569fe1e30b41febe9eefc3dd358098ab6181084831b8d525",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-01-29T09:51:19Z",
    "title_canon_sha256": "7b886a3b5598620099ae58070afa511be12eb7266283540a24e58f650f4c08da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.17523",
    "kind": "arxiv",
    "version": 1
  }
}