Pith Number

pith:NKKJTKL5

pith:2025:NKKJTKL5VWPR7XMIWVQ3BSBCOY

not attested not anchored not stored refs pending

Shortest filling geodesics on hyperbolic surfaces

Jiajun Wang, Yue Gao, Zhongzi Wang

arxiv:2506.12465 v1 · 2025-06-14 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKKJTKL5VWPR7XMIWVQ3BSBCOY}

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	2026-07-05T11:21:53.809099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a9499a97dad9f1fdd88b561b0c82276021e93866165e35b381085e0b919cbae

Aliases

arxiv: 2506.12465 · arxiv_version: 2506.12465v1 · doi: 10.48550/arxiv.2506.12465 · pith_short_12: NKKJTKL5VWPR · pith_short_16: NKKJTKL5VWPR7XMI · pith_short_8: NKKJTKL5

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/NKKJTKL5VWPR7XMIWVQ3BSBCOY \
  | 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: 6a9499a97dad9f1fdd88b561b0c82276021e93866165e35b381085e0b919cbae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2a895b192425f4bc16a871895b7ca4fe28064d5782ef879baae0f15cb372519",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-06-14T12:05:29Z",
    "title_canon_sha256": "c588c4cc72652d33abb43edb38361040122fdfeace53d5161fec4fca10a35e45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12465",
    "kind": "arxiv",
    "version": 1
  }
}