Pith Number

pith:WBLX7LYC

pith:2018:WBLX7LYCI5PEXJIZDPUS4MHSPP

not attested not anchored not stored refs pending

The projective dimension of three cubics is at most 5

Jason McCullough, Paolo Mantero

arxiv:1801.08195 v1 · 2018-01-24 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBLX7LYCI5PEXJIZDPUS4MHSPP}

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	2026-05-18T00:25:06.869663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0577faf02475e4ba5191be92e30f27bebeea899950907a6b3d65c11de4e43be

Aliases

arxiv: 1801.08195 · arxiv_version: 1801.08195v1 · doi: 10.48550/arxiv.1801.08195 · pith_short_12: WBLX7LYCI5PE · pith_short_16: WBLX7LYCI5PEXJIZ · pith_short_8: WBLX7LYC

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/WBLX7LYCI5PEXJIZDPUS4MHSPP \
  | 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: b0577faf02475e4ba5191be92e30f27bebeea899950907a6b3d65c11de4e43be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "779fc8c091bf690e4c18a59307e5f8e7cbb1d927f3408d6ca5dd94fbfe686b1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-01-24T21:08:47Z",
    "title_canon_sha256": "ad208caf0c22151b09eb82ca73fa26dfd17a075ce62f5ca83ca3350a662446fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08195",
    "kind": "arxiv",
    "version": 1
  }
}