Pith Number

pith:XQVJQBKC

pith:2010:XQVJQBKCTGLKXOPAKKZKCIG7UT

not attested not anchored not stored refs pending

Upper bounds for the number of zeroes for some Abelian integrals

Armengol Gasull, Joan Torregrosa, J. Tom\'as L\'azaro

arxiv:1012.5201 v1 · 2010-12-23 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQVJQBKCTGLKXOPAKKZKCIG7UT}

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	2026-05-18T04:32:35.607254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc2a9805429996abb9e052b2a120dfa4cd675eaa06b8145d31b93bb6573c3991

Aliases

arxiv: 1012.5201 · arxiv_version: 1012.5201v1 · doi: 10.48550/arxiv.1012.5201 · pith_short_12: XQVJQBKCTGLK · pith_short_16: XQVJQBKCTGLKXOPA · pith_short_8: XQVJQBKC

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/XQVJQBKCTGLKXOPAKKZKCIG7UT \
  | 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: bc2a9805429996abb9e052b2a120dfa4cd675eaa06b8145d31b93bb6573c3991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "353abace0a390a27f2fb8e27988b2d2d71241aed2ff2eac2d3dbbc56c46ff099",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-12-23T13:48:59Z",
    "title_canon_sha256": "b6fdba7e15251bd6b2f2145d9f5627f0edc171f9b4d4b57d4b76f834df68d0dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5201",
    "kind": "arxiv",
    "version": 1
  }
}