Pith Number

pith:ULSOYNA5

pith:2010:ULSOYNA5H7LMB4WFVC2IPSMGGD

not attested not anchored not stored refs pending

Sharp extension theorems and Falconer distance problems for algebraic curves in two dimensional vector spaces over finite fields

Chun-Yen Shen, Doowon Koh

arxiv:1003.4240 v3 · 2010-03-22 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULSOYNA5H7LMB4WFVC2IPSMGGD}

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	2026-05-18T04:34:27.677380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2e4ec341d3fd6c0f2c5a8b487c98630d87c5e397109c44b209ed796d6e06499

Aliases

arxiv: 1003.4240 · arxiv_version: 1003.4240v3 · doi: 10.48550/arxiv.1003.4240 · pith_short_12: ULSOYNA5H7LM · pith_short_16: ULSOYNA5H7LMB4WF · pith_short_8: ULSOYNA5

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/ULSOYNA5H7LMB4WFVC2IPSMGGD \
  | 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: a2e4ec341d3fd6c0f2c5a8b487c98630d87c5e397109c44b209ed796d6e06499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72ba5de733e22b708d86ab808b1ed99c0e5ad8a9c6626e1afee6d86d9091efe2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-03-22T18:36:03Z",
    "title_canon_sha256": "ff1ed52cbdddd6015466550728916ed0bb5fd17e166cb9a0f6fe43df141a565e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4240",
    "kind": "arxiv",
    "version": 3
  }
}