Pith Number

pith:2K4BXIGA

pith:2013:2K4BXIGAZEAXPJGQZVOBLTTP4D

not attested not anchored not stored refs pending

On base point freeness in positive characteristic

Chenyang Xu, Hiromu Tanaka, Paolo Cascini

arxiv:1305.3502 v2 · 2013-05-15 · 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{2K4BXIGAZEAXPJGQZVOBLTTP4D}

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	2026-05-18T02:56:11.654120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2b81ba0c0c90177a4d0cd5c15ce6fe0c85ac60d9b05efff54cf95b989944223

Aliases

arxiv: 1305.3502 · arxiv_version: 1305.3502v2 · doi: 10.48550/arxiv.1305.3502 · pith_short_12: 2K4BXIGAZEAX · pith_short_16: 2K4BXIGAZEAXPJGQ · pith_short_8: 2K4BXIGA

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/2K4BXIGAZEAXPJGQZVOBLTTP4D \
  | 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: d2b81ba0c0c90177a4d0cd5c15ce6fe0c85ac60d9b05efff54cf95b989944223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be33cc45a75e250dc64d91396b8c0ca36c42c6c4f55fcb0345d692f116194c12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-15T14:46:49Z",
    "title_canon_sha256": "1278e666d77760db601da36bf0e71b9aeeccd2389e8138bcf198392714fd0d81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3502",
    "kind": "arxiv",
    "version": 2
  }
}