Pith Number

pith:QHI3YKUH

pith:2018:QHI3YKUHBTY5N6KPCBMDJNIC5L

not attested not anchored not stored refs pending

Lower bounds for Waldschmidt constants of generic lines in $\mathbb{P}^3$ and a Chudnovsky-type theorem

Halszka Tutaj-Gasinska, Justyna Szpond, Marcin Dumnicki, Mohammad Zaman Fashami

arxiv:1803.02387 v1 · 2018-03-06 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHI3YKUHBTY5N6KPCBMDJNIC5L}

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	2026-05-18T00:21:50.423826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81d1bc2a870cf1d6f94f105834b502eaf458d6de550e140dd40745e1b7dfa6dc

Aliases

arxiv: 1803.02387 · arxiv_version: 1803.02387v1 · doi: 10.48550/arxiv.1803.02387 · pith_short_12: QHI3YKUHBTY5 · pith_short_16: QHI3YKUHBTY5N6KP · pith_short_8: QHI3YKUH

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/QHI3YKUHBTY5N6KPCBMDJNIC5L \
  | 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: 81d1bc2a870cf1d6f94f105834b502eaf458d6de550e140dd40745e1b7dfa6dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2991e3a0a76cec13b6da6459af8b2d6994069067b7efbff60d70c1b25490705",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-06T19:14:05Z",
    "title_canon_sha256": "e5ef8f04dfa48ddfa3356b8f3debc9c97ce08a2ab02e6cc425e7701e87801d8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02387",
    "kind": "arxiv",
    "version": 1
  }
}