Pith Number

pith:4LQPAOZ3

pith:2026:4LQPAOZ3D4RP4TTLLKJMQB5UWC

not attested not anchored not stored refs pending

Multi-target hyperbolic sieves and elliptic trace obstructions

Erik Mulder, Markus Hittmeir, Pantelimon St\u{a}nic\u{a}

arxiv:2606.13018 v1 · 2026-06-11 · 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{4LQPAOZ3D4RP4TTLLKJMQB5UWC}

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	2026-06-12T01:09:37.215817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2e0f03b3b1f22fe4e6b5a92c807b4b08fc9e56204f27ec682311fb5a5ac23d7

Aliases

arxiv: 2606.13018 · arxiv_version: 2606.13018v1 · doi: 10.48550/arxiv.2606.13018 · pith_short_12: 4LQPAOZ3D4RP · pith_short_16: 4LQPAOZ3D4RP4TTL · pith_short_8: 4LQPAOZ3

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/4LQPAOZ3D4RP4TTLLKJMQB5UWC \
  | 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: e2e0f03b3b1f22fe4e6b5a92c807b4b08fc9e56204f27ec682311fb5a5ac23d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "628a696af1e7f65a25d1cc29849551e4db8ff59589ae584e82bcf25aefed2d3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-11T07:53:39Z",
    "title_canon_sha256": "54c1c23e5b24d5449bd7b84ca8b79d92b4b6c0497283268637e8c3982900a76c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13018",
    "kind": "arxiv",
    "version": 1
  }
}