Pith Number

pith:MDHKDNQI

pith:2015:MDHKDNQIATRVAMDSADTPCM2FFL

not attested not anchored not stored refs pending

Complex and real ranks of reducible cubics

Cheng Guo, Emanuele Ventura, Enrico Carlini

arxiv:1502.01051 v2 · 2015-02-03 · 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{MDHKDNQIATRVAMDSADTPCM2FFL}

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	2026-05-18T01:24:14.650362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60cea1b60804e350307200e6f133452ae230b951b36a3121e4d27de7e598df2a

Aliases

arxiv: 1502.01051 · arxiv_version: 1502.01051v2 · doi: 10.48550/arxiv.1502.01051 · pith_short_12: MDHKDNQIATRV · pith_short_16: MDHKDNQIATRVAMDS · pith_short_8: MDHKDNQI

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/MDHKDNQIATRVAMDSADTPCM2FFL \
  | 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: 60cea1b60804e350307200e6f133452ae230b951b36a3121e4d27de7e598df2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24115f2780fa64a3c2e44e243f430c454385e8ccd9acbbca96e28d7ff55a5243",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-02-03T22:11:01Z",
    "title_canon_sha256": "7393f8f657986e4e3b7469e8cbf338a6526cb257d22cc3e78b5745a15d38adcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01051",
    "kind": "arxiv",
    "version": 2
  }
}