Pith Number

pith:LXYXS3I6

pith:2019:LXYXS3I6Q6F5ZK7VY2R45J25QI

not attested not anchored not stored refs pending

D'Angelo conjecture in the third gap interval

Shanyu Ji, Wanke Yin

arxiv:1904.11661 v1 · 2019-04-26 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LXYXS3I6Q6F5ZK7VY2R45J25QI}

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	2026-05-17T23:47:43.090417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5df1796d1e878bdcabf5c6a3cea75d821c54d41a09905eccd183c735b9019c56

Aliases

arxiv: 1904.11661 · arxiv_version: 1904.11661v1 · doi: 10.48550/arxiv.1904.11661 · pith_short_12: LXYXS3I6Q6F5 · pith_short_16: LXYXS3I6Q6F5ZK7V · pith_short_8: LXYXS3I6

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/LXYXS3I6Q6F5ZK7VY2R45J25QI \
  | 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: 5df1796d1e878bdcabf5c6a3cea75d821c54d41a09905eccd183c735b9019c56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90be00faf0068a60802ed40a0266d899d15b6abe0f6fa95c76b8dec737e04ea0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-04-26T03:28:20Z",
    "title_canon_sha256": "477113e828ddf678d00b40c23955369f7f8daafac223ce63330a2c43ed5b2cc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11661",
    "kind": "arxiv",
    "version": 1
  }
}