Pith Number

pith:3THSTZPF

pith:2011:3THSTZPF5KNXPPZ2G4P3KTSEQK

not attested not anchored not stored refs pending

The Poincar\'e Problem, algebraic integrability and dicritical divisors

Carlos Galindo, Francisco Monserrat

arxiv:1110.2973 v1 · 2011-10-13 · 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{3THSTZPF5KNXPPZ2G4P3KTSEQK}

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	2026-05-18T04:11:06.517002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dccf29e5e5ea9b77bf3a371fb54e448281da897e6601c408d16cd0346cb7d94d

Aliases

arxiv: 1110.2973 · arxiv_version: 1110.2973v1 · doi: 10.48550/arxiv.1110.2973 · pith_short_12: 3THSTZPF5KNX · pith_short_16: 3THSTZPF5KNXPPZ2 · pith_short_8: 3THSTZPF

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/3THSTZPF5KNXPPZ2G4P3KTSEQK \
  | 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: dccf29e5e5ea9b77bf3a371fb54e448281da897e6601c408d16cd0346cb7d94d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee87b934e92b30b60d24f29ffe781cbfe87cfe336525544c8ed67d1ca9bb9ed0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-13T15:16:12Z",
    "title_canon_sha256": "fa3fbd4dd2fee21086bbe1e0aa1235f4597f36dfcf90d9cb519dcbc9d9f11493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2973",
    "kind": "arxiv",
    "version": 1
  }
}