Pith Number

pith:G6ZJCUOY

pith:2014:G6ZJCUOY6FACD6MELSFBOWLOBC

not attested not anchored not stored refs pending

Some criteria to check if a projective hypersurfaces is smooth or singular

Gabriel Sticlaru

arxiv:1401.1537 v1 · 2014-01-07 · 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{G6ZJCUOY6FACD6MELSFBOWLOBC}

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	2026-05-18T03:02:58.671587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37b29151d8f14021f9845c8a17596e08828085ee7ddbda950cab8c24dc4c0688

Aliases

arxiv: 1401.1537 · arxiv_version: 1401.1537v1 · doi: 10.48550/arxiv.1401.1537 · pith_short_12: G6ZJCUOY6FAC · pith_short_16: G6ZJCUOY6FACD6ME · pith_short_8: G6ZJCUOY

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/G6ZJCUOY6FACD6MELSFBOWLOBC \
  | 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: 37b29151d8f14021f9845c8a17596e08828085ee7ddbda950cab8c24dc4c0688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baba4e3649b1e7cad9fa83957864fd43f04ea38a1d40f55171ee8c10b8e563db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-01-07T22:48:19Z",
    "title_canon_sha256": "56c27b33990abe210e62aa710987af5921463f6cf950b11271ca4cb7cce6fce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1537",
    "kind": "arxiv",
    "version": 1
  }
}