Pith Number

pith:EB4RHPZO

pith:2005:EB4RHPZOBRM3WY4UH6FEVQFW5F

not attested not anchored not stored refs pending

New effective bounds on the dimension of a linear system in $\mathbb P^2$

Marcin Dumnicki, Witold Jarnicki

arxiv:math/0505183 v2 · 2005-05-10 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EB4RHPZOBRM3WY4UH6FEVQFW5F}

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	2026-05-18T01:05:23.468929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

207913bf2e0c59bb63943f8a4ac0b6e94116c7ef2c86007f08e62b7b4b31f460

Aliases

arxiv: math/0505183 · arxiv_version: math/0505183v2 · doi: 10.48550/arxiv.math/0505183 · pith_short_12: EB4RHPZOBRM3 · pith_short_16: EB4RHPZOBRM3WY4U · pith_short_8: EB4RHPZO

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/EB4RHPZOBRM3WY4UH6FEVQFW5F \
  | 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: 207913bf2e0c59bb63943f8a4ac0b6e94116c7ef2c86007f08e62b7b4b31f460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6561fbc0bfa8b91beb76fae5abbc3c738db0f90c1e0686f54831a239e238088",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-05-10T14:44:13Z",
    "title_canon_sha256": "f8d9bff760fb86fc5b20529aa8339d2a1a89c994083253f17a724b9cad7b6e15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505183",
    "kind": "arxiv",
    "version": 2
  }
}