Pith Number

pith:6KJQ4D6X

pith:2014:6KJQ4D6XU2LX6VNWSY7OCE7SQC

not attested not anchored not stored refs pending

Associated forms of binary quartics and ternary cubics

A. V. Isaev, J. Alper, N. G. Kruzhilin

arxiv:1409.8369 v1 · 2014-09-30 · math.AG · math.AC · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6KJQ4D6XU2LX6VNWSY7OCE7SQC}

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	2026-05-18T02:41:25.493467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2930e0fd7a6977f55b6963ee113f280837929bc673ddb6f3959ef3089924db5

Aliases

arxiv: 1409.8369 · arxiv_version: 1409.8369v1 · doi: 10.48550/arxiv.1409.8369 · pith_short_12: 6KJQ4D6XU2LX · pith_short_16: 6KJQ4D6XU2LX6VNW · pith_short_8: 6KJQ4D6X

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/6KJQ4D6XU2LX6VNWSY7OCE7SQC \
  | 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: f2930e0fd7a6977f55b6963ee113f280837929bc673ddb6f3959ef3089924db5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd82dd4722aab9fd5065326f174e74fba8ca6c82e6ef5d116639492b3a1835d6",
    "cross_cats_sorted": [
      "math.AC",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-30T02:55:40Z",
    "title_canon_sha256": "59404db7b6d45a18dbf935d00ec2f3c548b8eb85fc28858e532518ae4c003dbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8369",
    "kind": "arxiv",
    "version": 1
  }
}