Pith Number

pith:VNQ6XZ4I

pith:2014:VNQ6XZ4IW2JZTP5FV5SHKBABFM

not attested not anchored not stored refs pending

The hit problem for the polynomial algebra of four variables

Nguyen Sum

arxiv:1412.1709 v2 · 2014-12-04 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNQ6XZ4IW2JZTP5FV5SHKBABFM}

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	2026-07-05T09:55:04.244893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab61ebe788b69399bfa5af647504012b3932d5970368a5b0c2900a56b651749a

Aliases

arxiv: 1412.1709 · arxiv_version: 1412.1709v2 · doi: 10.48550/arxiv.1412.1709 · pith_short_12: VNQ6XZ4IW2JZ · pith_short_16: VNQ6XZ4IW2JZTP5F · pith_short_8: VNQ6XZ4I

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/VNQ6XZ4IW2JZTP5FV5SHKBABFM \
  | 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: ab61ebe788b69399bfa5af647504012b3932d5970368a5b0c2900a56b651749a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "173f1f274010cba457cbd6b6e1c8297873126909c722d990e932f3a9d131e8ab",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-12-04T16:00:22Z",
    "title_canon_sha256": "de92b49b9d7a9d26ccb1dc026421b0befc2260af4b595aab7bcbc9d031266041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1709",
    "kind": "arxiv",
    "version": 2
  }
}