Pith Number

pith:FD5XILGQ

pith:2014:FD5XILGQK57UBBVCGLMW6I5CKF

not attested not anchored not stored refs pending

The Lagrangian Cubic Equation

Cedric Membrez, Paul Biran

arxiv:1406.6004 v2 · 2014-06-23 · math.SG · 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{FD5XILGQK57UBBVCGLMW6I5CKF}

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	2026-05-18T02:27:44.520934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28fb742cd0577f4086a232d96f23a251725a28d6ba19a4cfa9fe35e70af68b7d

Aliases

arxiv: 1406.6004 · arxiv_version: 1406.6004v2 · doi: 10.48550/arxiv.1406.6004 · pith_short_12: FD5XILGQK57U · pith_short_16: FD5XILGQK57UBBVC · pith_short_8: FD5XILGQ

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/FD5XILGQK57UBBVCGLMW6I5CKF \
  | 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: 28fb742cd0577f4086a232d96f23a251725a28d6ba19a4cfa9fe35e70af68b7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d16a5a5630daeec3cc9658949e372b8fa3fc7c00eed495436d7da6fb66f0f5f4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-06-23T17:47:07Z",
    "title_canon_sha256": "38ad2fc2413ce52cb32ef253cbdd43d2e2c9ac5fd31201905038529ed1a121be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6004",
    "kind": "arxiv",
    "version": 2
  }
}