Pith Number

pith:4C34GDPY

pith:2007:4C34GDPY6BC3PNX2MXYV4CDY3I

not attested not anchored not stored refs pending

Perturbations of quadratic centers of genus one

Iliya D. Iliev, Lubomir Gavrilov, Sebastien Gautier

arxiv:0705.1609 v2 · 2007-05-11 · math.DS · 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{4C34GDPY6BC3PNX2MXYV4CDY3I}

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	2026-05-18T04:25:37.992658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b7c30df8f045b7b6fa65f15e0878da10adbe7be0e2a91603ee83fd247a49ef

Aliases

arxiv: 0705.1609 · arxiv_version: 0705.1609v2 · doi: 10.48550/arxiv.0705.1609 · pith_short_12: 4C34GDPY6BC3 · pith_short_16: 4C34GDPY6BC3PNX2 · pith_short_8: 4C34GDPY

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/4C34GDPY6BC3PNX2MXYV4CDY3I \
  | 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: e0b7c30df8f045b7b6fa65f15e0878da10adbe7be0e2a91603ee83fd247a49ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8406e5c8f37124dd77bb32dd9e1c441091209abcd5a29b4870eb1a2e76f64640",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-05-11T09:30:23Z",
    "title_canon_sha256": "6700b387b9d6643999f759eecb8383ed9b92803c52aaa2bb5ee8a918b6386277"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1609",
    "kind": "arxiv",
    "version": 2
  }
}