Pith Number

pith:6EXSKF4K

pith:2019:6EXSKF4KOUDZMC7OEO5KUSJUE6

not attested not anchored not stored refs pending

Integral points on twisted Markoff surfaces

Sheng Chen

arxiv:1904.06864 v3 · 2019-04-15 · 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{6EXSKF4KOUDZMC7OEO5KUSJUE6}

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	2026-05-17T23:41:53.132031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f12f25178a7507960bee23baaa493427a8959e85ed76e8295a93e88611a6eae6

Aliases

arxiv: 1904.06864 · arxiv_version: 1904.06864v3 · doi: 10.48550/arxiv.1904.06864 · pith_short_12: 6EXSKF4KOUDZ · pith_short_16: 6EXSKF4KOUDZMC7O · pith_short_8: 6EXSKF4K

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/6EXSKF4KOUDZMC7OEO5KUSJUE6 \
  | 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: f12f25178a7507960bee23baaa493427a8959e85ed76e8295a93e88611a6eae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89a3fe79de5607f91146832c0334c4a7f65efd5b93aa1baad9d433966b1600d9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-15T05:55:08Z",
    "title_canon_sha256": "f88c84b309c98999c6eda33c33154b26c5056ca342849c06133f7c6b94a5ae21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06864",
    "kind": "arxiv",
    "version": 3
  }
}