Pith Number

pith:D6POU624

pith:2016:D6POU624XK75QHI2434ACIR5QH

not attested not anchored not stored refs pending

Numerically validating the completeness of the real solution set of a system of polynomial equations

Alan C. Liddell, Daniel A. Brake, Jonathan D. Hauenstein

arxiv:1602.00700 v1 · 2016-02-01 · math.NA · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6POU624XK75QHI2434ACIR5QH}

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	2026-05-18T01:21:24.889484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f9eea7b5cbabfd81d1ae6f801223d81d605d149b2f9412869f91788c25ec803

Aliases

arxiv: 1602.00700 · arxiv_version: 1602.00700v1 · doi: 10.48550/arxiv.1602.00700 · pith_short_12: D6POU624XK75 · pith_short_16: D6POU624XK75QHI2 · pith_short_8: D6POU624

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/D6POU624XK75QHI2434ACIR5QH \
  | 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: 1f9eea7b5cbabfd81d1ae6f801223d81d605d149b2f9412869f91788c25ec803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d75e68fad36f618d9bf83374c39d6127bbddf033e6460c6a62293bab6769afb",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-02-01T21:01:07Z",
    "title_canon_sha256": "10fd63e09d8e2b3336f65c5880aa11932c6ae35a657116e4d7623df2eea4b094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00700",
    "kind": "arxiv",
    "version": 1
  }
}