Pith Number

pith:5N5KPFPB

pith:2025:5N5KPFPBIW3AVOFQM52DUKSGIK

not attested not anchored not stored refs pending

The Hesse pencil of plane curves and osculating conics

Ewelina Nawara

arxiv:2506.04662 v1 · 2025-06-05 · 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{5N5KPFPBIW3AVOFQM52DUKSGIK}

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	2026-07-05T11:16:18.649079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb7aa795e145b60ab8b067743a2a46429c5ed93530251bb0ef719609b815c384

Aliases

arxiv: 2506.04662 · arxiv_version: 2506.04662v1 · doi: 10.48550/arxiv.2506.04662 · pith_short_12: 5N5KPFPBIW3A · pith_short_16: 5N5KPFPBIW3AVOFQ · pith_short_8: 5N5KPFPB

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/5N5KPFPBIW3AVOFQM52DUKSGIK \
  | 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: eb7aa795e145b60ab8b067743a2a46429c5ed93530251bb0ef719609b815c384

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c11a1a59d4308c4c6d6a0fe98ec9334442e4b32c6f82f1ccafc3241cbfbe1438",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-05T06:05:12Z",
    "title_canon_sha256": "62fcda08d7ae1f8766a395c44339239c2dcd3bad4e00f358f3a8e914c10bbea4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04662",
    "kind": "arxiv",
    "version": 1
  }
}