Pith Number

pith:V7CTMVBF

pith:2025:V7CTMVBF7T7XR5OGGW36NHZ4TV

not attested not anchored not stored refs pending

Close points on a modular hyperbola

Tsz Ho Chan

arxiv:2506.04087 v1 · 2025-06-04 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7CTMVBF7T7XR5OGGW36NHZ4TV}

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	2026-07-05T11:15:56.706649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afc5365425fcff78f5c635b7e69f3c9d598e9595a79f81ba20ca2d167f058f8a

Aliases

arxiv: 2506.04087 · arxiv_version: 2506.04087v1 · doi: 10.48550/arxiv.2506.04087 · pith_short_12: V7CTMVBF7T7X · pith_short_16: V7CTMVBF7T7XR5OG · pith_short_8: V7CTMVBF

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/V7CTMVBF7T7XR5OGGW36NHZ4TV \
  | 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: afc5365425fcff78f5c635b7e69f3c9d598e9595a79f81ba20ca2d167f058f8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee55d42cdf66d870c98db6b51a88e9166654514a0ce1a6ead4ed13929921e7ae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-04T15:46:15Z",
    "title_canon_sha256": "2987507ad3940f7e6a482d937d63311cc7dcc1ee5e4ba7f45537e50a91fb9827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04087",
    "kind": "arxiv",
    "version": 1
  }
}