Pith Number

pith:QFFQWHRA

pith:2015:QFFQWHRAI4GFUTGLE6KZXPMQKB

not attested not anchored not stored refs pending

Six unlikely intersection problems in search of effectivity

D. Masser, G. Jones, P. Habegger

arxiv:1509.06573 v1 · 2015-09-22 · 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{QFFQWHRAI4GFUTGLE6KZXPMQKB}

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	2026-05-18T01:10:09.996519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

814b0b1e20470c5a4ccb27959bbd9050445bdeaaeae3133bdb195e9da35baf4d

Aliases

arxiv: 1509.06573 · arxiv_version: 1509.06573v1 · doi: 10.48550/arxiv.1509.06573 · pith_short_12: QFFQWHRAI4GF · pith_short_16: QFFQWHRAI4GFUTGL · pith_short_8: QFFQWHRA

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/QFFQWHRAI4GFUTGLE6KZXPMQKB \
  | 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: 814b0b1e20470c5a4ccb27959bbd9050445bdeaaeae3133bdb195e9da35baf4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27350a8316df746ee21af9bd6f9e807b7d4deaa2889a44621d846ead9a5c9d9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-22T12:41:43Z",
    "title_canon_sha256": "36acfb09022a89534a2925e5ce85b30463f15860ff9c1da0e72a74363521a540"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06573",
    "kind": "arxiv",
    "version": 1
  }
}