Pith Number

pith:GLVNYGWW

pith:2025:GLVNYGWWDUJKIGWROU2B6YU72T

not attested not anchored not stored refs pending

Exact integral formulas for volumes of two-bridge knot cone-manifolds

Anh T. Tran, Nisha Yadav

arxiv:2510.02095 v2 · 2025-10-02 · 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{GLVNYGWWDUJKIGWROU2B6YU72T}

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	2026-05-22T01:04:53.820559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32eadc1ad61d12a41ad175341f629fd4d7b997ab9b966cfb128a02e0b5877963

Aliases

arxiv: 2510.02095 · arxiv_version: 2510.02095v2 · doi: 10.48550/arxiv.2510.02095 · pith_short_12: GLVNYGWWDUJK · pith_short_16: GLVNYGWWDUJKIGWR · pith_short_8: GLVNYGWW

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/GLVNYGWWDUJKIGWROU2B6YU72T \
  | 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: 32eadc1ad61d12a41ad175341f629fd4d7b997ab9b966cfb128a02e0b5877963

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "510d86a68367fa2c923222851f8b9590854ed364282763bbbac5af7221021907",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-10-02T15:03:21Z",
    "title_canon_sha256": "88692225a8df0bffcc014cd073e3ed78d755daad5de96e777d44a5f6df98723e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.02095",
    "kind": "arxiv",
    "version": 2
  }
}