Pith Number

pith:DYFQWOZA

pith:2024:DYFQWOZAYOHK4G2OHTTTL55MXW

not attested not anchored not stored refs pending

Local-global principles for semi-integral points on Markoff orbifold pairs

Justin Uhlemann, Vladimir Mitankin

arxiv:2411.02629 v3 · 2024-11-04 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DYFQWOZAYOHK4G2OHTTTL55MXW}

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	2026-06-01T02:03:18.453335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e0b0b3b20c38eae1b4e3ce735f7acbd9dbeef46aef953c5f2345e227598b804

Aliases

arxiv: 2411.02629 · arxiv_version: 2411.02629v3 · doi: 10.48550/arxiv.2411.02629 · pith_short_12: DYFQWOZAYOHK · pith_short_16: DYFQWOZAYOHK4G2O · pith_short_8: DYFQWOZA

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/DYFQWOZAYOHK4G2OHTTTL55MXW \
  | 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: 1e0b0b3b20c38eae1b4e3ce735f7acbd9dbeef46aef953c5f2345e227598b804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9baa21719c668a59471bfc5c429c23e5c17b91b9a6d9402c616f9fd40f5912b1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-04T21:42:03Z",
    "title_canon_sha256": "7a8e711021cc4973034638b8936f5810ba17827bb080820745233dc433610e79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.02629",
    "kind": "arxiv",
    "version": 3
  }
}