Pith Number

pith:UC27L3Y5

pith:2015:UC27L3Y54EZOPBFWNGJYGDUNJW

not attested not anchored not stored refs pending

Rational points on Grassmannians and unlikely intersections in tori

David Masser, Jonathan Pila, Laura Capuano, Umberto Zannier

arxiv:1511.00607 v2 · 2015-11-02 · 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{UC27L3Y54EZOPBFWNGJYGDUNJW}

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	2026-05-18T00:44:25.093855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0b5f5ef1de132e784b66993830e8d4d8ed4cad134b725a81d4a42411ac0c8d4

Aliases

arxiv: 1511.00607 · arxiv_version: 1511.00607v2 · doi: 10.48550/arxiv.1511.00607 · pith_short_12: UC27L3Y54EZO · pith_short_16: UC27L3Y54EZOPBFW · pith_short_8: UC27L3Y5

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/UC27L3Y54EZOPBFWNGJYGDUNJW \
  | 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: a0b5f5ef1de132e784b66993830e8d4d8ed4cad134b725a81d4a42411ac0c8d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "341e8cb4cc9b48f290fb05ba1a8b1272216f7561b69b18dc1623edda5105d0bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-02T17:41:07Z",
    "title_canon_sha256": "8e706c846d3f6a5f3d8285fd36e45df9438b05e5273eba0f4eea2d159abc03f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00607",
    "kind": "arxiv",
    "version": 2
  }
}