Pith Number

pith:2RYOZRS2

pith:2016:2RYOZRS2ZO2R5EHRMM736ZT4CY

not attested not anchored not stored refs pending

Prolongations of infinitesimal automorphisms of cubic hypersurfaces with nonzero Hessian

Jun-Muk Hwang

arxiv:1612.09020 v1 · 2016-12-29 · 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{2RYOZRS2ZO2R5EHRMM736ZT4CY}

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	2026-05-18T00:53:46.606855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d470ecc65acbb51e90f1633fbf667c1635990de6732229ab0a3c2a8e7f6f8a44

Aliases

arxiv: 1612.09020 · arxiv_version: 1612.09020v1 · doi: 10.48550/arxiv.1612.09020 · pith_short_12: 2RYOZRS2ZO2R · pith_short_16: 2RYOZRS2ZO2R5EHR · pith_short_8: 2RYOZRS2

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/2RYOZRS2ZO2R5EHRMM736ZT4CY \
  | 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: d470ecc65acbb51e90f1633fbf667c1635990de6732229ab0a3c2a8e7f6f8a44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f4677883900f87d8ab336dd257c170227b35ce699a33d4539723ceca788a0b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-29T01:58:03Z",
    "title_canon_sha256": "989b220fbaa1d19e50700e54a11c8439c784d55b13d0437a30e7c3c0e0ac2a2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09020",
    "kind": "arxiv",
    "version": 1
  }
}