Pith Number

pith:E4TTL2RC

pith:2015:E4TTL2RCRVXCJREQ6245C3VO3T

not attested not anchored not stored refs pending

On higher Hessians and the Lefschetz properties

Rodrigo Gondim

arxiv:1506.06387 v2 · 2015-06-21 · math.AC · 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{E4TTL2RCRVXCJREQ6245C3VO3T}

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	2026-05-18T00:45:30.709086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

272735ea228d6e24c490f6b9d16eaedcd929ed53059cee1d69b18acd427d2701

Aliases

arxiv: 1506.06387 · arxiv_version: 1506.06387v2 · doi: 10.48550/arxiv.1506.06387 · pith_short_12: E4TTL2RCRVXC · pith_short_16: E4TTL2RCRVXCJREQ · pith_short_8: E4TTL2RC

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/E4TTL2RCRVXCJREQ6245C3VO3T \
  | 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: 272735ea228d6e24c490f6b9d16eaedcd929ed53059cee1d69b18acd427d2701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a9a1215aa463ae49338a55b16757dd0fd0510393df776a0c9d0ff81a4e08a3a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-06-21T16:33:51Z",
    "title_canon_sha256": "22cce9d533546981a101667cf72aa23a4c3869ad496d060aaa97969f1fc6a9d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06387",
    "kind": "arxiv",
    "version": 2
  }
}