Pith Number

pith:C3VJDG3N

pith:2010:C3VJDG3NVQUF355HYCT3NFVNU5

not attested not anchored not stored refs pending

A survey of the Poincar\'e Center Problem in degree 3 using finite field heuristics

Hans-Christian Graf v. Bothmer, Jakob Kr\"oker

arxiv:1012.3402 v1 · 2010-12-15 · math.AG · 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{C3VJDG3NVQUF355HYCT3NFVNU5}

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	2026-05-18T04:33:16.924493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16ea919b6dac285df7a7c0a7b696ada76e514152ba9ba96e1a7c1d76e9ba155d

Aliases

arxiv: 1012.3402 · arxiv_version: 1012.3402v1 · doi: 10.48550/arxiv.1012.3402 · pith_short_12: C3VJDG3NVQUF · pith_short_16: C3VJDG3NVQUF355H · pith_short_8: C3VJDG3N

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/C3VJDG3NVQUF355HYCT3NFVNU5 \
  | 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: 16ea919b6dac285df7a7c0a7b696ada76e514152ba9ba96e1a7c1d76e9ba155d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab9128c7e8e6a5f16567a56ad75c610cae64e8c6b6547dd9ca55c363155437c8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-15T17:56:43Z",
    "title_canon_sha256": "ef2d2178678e65b05b26ed6a66744d11a49af1a7e10259e58f294be9f52520bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3402",
    "kind": "arxiv",
    "version": 1
  }
}