Pith Number

pith:5OU52YLA

pith:2009:5OU52YLA2ZMGJ5SH55B5MJ2PNI

not attested not anchored not stored refs pending

Plane sextics with a type $\mathbf{E}_6$ singular point

Alex Degtyarev

arxiv:0907.4714 v2 · 2009-07-27 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OU52YLA2ZMGJ5SH55B5MJ2PNI}

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	2026-05-18T04:16:42.439412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eba9dd6160d65864f647ef43d6274f6a31d9058cc355642c0e3f6c6359a0c43a

Aliases

arxiv: 0907.4714 · arxiv_version: 0907.4714v2 · doi: 10.48550/arxiv.0907.4714 · pith_short_12: 5OU52YLA2ZMG · pith_short_16: 5OU52YLA2ZMGJ5SH · pith_short_8: 5OU52YLA

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/5OU52YLA2ZMGJ5SH55B5MJ2PNI \
  | 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: eba9dd6160d65864f647ef43d6274f6a31d9058cc355642c0e3f6c6359a0c43a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7beadc00475e1b134e9c4e1a49d0535b0b8ec678ee0e12ecad8d24a722ce0270",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-27T17:38:04Z",
    "title_canon_sha256": "3df24c1f26f5d010271bd7db4f1f1d4bdf0c388c44ded5fbbc831fbb7864422c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4714",
    "kind": "arxiv",
    "version": 2
  }
}