Pith Number

pith:D5I65ENM

pith:2012:D5I65ENMN2OM4VGTYT3KQ7ETUQ

not attested not anchored not stored refs pending

Hardy-Littlewood tuple conjecture over large finite field

Lior Bary-Soroker

arxiv:1206.3930 v3 · 2012-06-18 · 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{D5I65ENMN2OM4VGTYT3KQ7ETUQ}

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	2026-05-18T03:44:04.360608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f51ee91ac6e9cce54d3c4f6a87c93a426ef395da38521ab20cb46d43d766c9d

Aliases

arxiv: 1206.3930 · arxiv_version: 1206.3930v3 · doi: 10.48550/arxiv.1206.3930 · pith_short_12: D5I65ENMN2OM · pith_short_16: D5I65ENMN2OM4VGT · pith_short_8: D5I65ENM

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/D5I65ENMN2OM4VGTYT3KQ7ETUQ \
  | 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: 1f51ee91ac6e9cce54d3c4f6a87c93a426ef395da38521ab20cb46d43d766c9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ddd74c1a9c2b495195779d1fc2fbc6459c899c664d5f2db187cdac4f57523e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-18T13:44:08Z",
    "title_canon_sha256": "00dfea63ddca1627d744fd061f25d10a053086f583c7329c9d0a773880680057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3930",
    "kind": "arxiv",
    "version": 3
  }
}