Pith Number

pith:QRLG3V6J

pith:2013:QRLG3V6JB4D34FN5D6RJFTFGOD

not attested not anchored not stored refs pending

On cubic hypersurfaces with vanishing hessian

Francesco Russo, Rodrigo Gondim

arxiv:1312.1618 v3 · 2013-12-05 · 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{QRLG3V6JB4D34FN5D6RJFTFGOD}

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	2026-05-18T02:33:01.367250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84566dd7c90f07be15bd1fa292cca670eb515fb84d24512c7bb6399a3ee64204

Aliases

arxiv: 1312.1618 · arxiv_version: 1312.1618v3 · doi: 10.48550/arxiv.1312.1618 · pith_short_12: QRLG3V6JB4D3 · pith_short_16: QRLG3V6JB4D34FN5 · pith_short_8: QRLG3V6J

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/QRLG3V6JB4D34FN5D6RJFTFGOD \
  | 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: 84566dd7c90f07be15bd1fa292cca670eb515fb84d24512c7bb6399a3ee64204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49efc4b48021b0ac8c72dc04305060b18b7ab86e2ae7e953be20d9cb88781865",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-05T17:05:14Z",
    "title_canon_sha256": "7ed16e367e797c5e85e149a9bf1c47eeeb4604e4e18f09efc48760e00953e0c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1618",
    "kind": "arxiv",
    "version": 3
  }
}