Pith Number

pith:I5PGR6XK

pith:2026:I5PGR6XKF4VVMILZ2U4UIAXPSS

not attested not anchored not stored refs pending

Explicit height bounds for G-functions and unlikely intersections with lines in tori

Martin Orr

arxiv:2607.09565 v1 · 2026-07-10 · 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{I5PGR6XKF4VVMILZ2U4UIAXPSS}

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	2026-07-13T01:20:20.541016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

475e68faea2f2b562179d5394402ef94875181d808e908e12a32f05494675554

Aliases

arxiv: 2607.09565 · arxiv_version: 2607.09565v1 · doi: 10.48550/arxiv.2607.09565 · pith_short_12: I5PGR6XKF4VV · pith_short_16: I5PGR6XKF4VVMILZ · pith_short_8: I5PGR6XK

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/I5PGR6XKF4VVMILZ2U4UIAXPSS \
  | 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: 475e68faea2f2b562179d5394402ef94875181d808e908e12a32f05494675554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38922ceff67be4cc44e85469cf445aa80a0b4b17c83f0a22f92e98842f95fc1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-10T16:10:52Z",
    "title_canon_sha256": "0721fe2c2a73ff6a313a941fa1aff6c386f6f461dae524d076ce6fed5c41e6b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09565",
    "kind": "arxiv",
    "version": 1
  }
}