Pith Number

pith:JGVQ5HBW

pith:2016:JGVQ5HBW4AVSJ3KHRL4A2HOHTW

not attested not anchored not stored refs pending

On arithmetic lattices in the plane

Florian Luca, Lenny Fukshansky, Pavel Guerzhoy

arxiv:1607.04044 v1 · 2016-07-14 · 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{JGVQ5HBW4AVSJ3KHRL4A2HOHTW}

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	2026-05-18T01:11:04.228981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49ab0e9c36e02b24ed478af80d1dc79d82aa3cfecb96acc0a785f2dde9cd1aa3

Aliases

arxiv: 1607.04044 · arxiv_version: 1607.04044v1 · doi: 10.48550/arxiv.1607.04044 · pith_short_12: JGVQ5HBW4AVS · pith_short_16: JGVQ5HBW4AVSJ3KH · pith_short_8: JGVQ5HBW

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/JGVQ5HBW4AVSJ3KHRL4A2HOHTW \
  | 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: 49ab0e9c36e02b24ed478af80d1dc79d82aa3cfecb96acc0a785f2dde9cd1aa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a834fffd91c8a0c05b8a463b9571d22e7f6a8bc9b320387318ee5c28aac7fec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-14T09:22:20Z",
    "title_canon_sha256": "01c8c3374760fff555017785b54b28dad4b3c145177a645213dc912db7c62339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04044",
    "kind": "arxiv",
    "version": 1
  }
}