Pith Number

pith:NGKDZU3J

pith:2018:NGKDZU3JPZRTX3XLX7NSKQL756

not attested not anchored not stored refs pending

Univariate Ideal Membership Parameterized by Rank, Degree, and Number of Generators

Abhranil Chatterjee, Partha Mukhopadhyay, Rajit Datta, V. Arvind

arxiv:1808.10787 v2 · 2018-08-31 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGKDZU3JPZRTX3XLX7NSKQL756}

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	2026-05-18T00:05:13.653060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69943cd3697e633beeebbfdb25417fefaee132efec098b01aec1a58a6ce21bd7

Aliases

arxiv: 1808.10787 · arxiv_version: 1808.10787v2 · doi: 10.48550/arxiv.1808.10787 · pith_short_12: NGKDZU3JPZRT · pith_short_16: NGKDZU3JPZRTX3XL · pith_short_8: NGKDZU3J

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/NGKDZU3JPZRTX3XLX7NSKQL756 \
  | 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: 69943cd3697e633beeebbfdb25417fefaee132efec098b01aec1a58a6ce21bd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90b655d092e031b0b9184d50dc35b734ed6b5a9901d0c5aedde2dd6eccec2f3e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-08-31T14:38:53Z",
    "title_canon_sha256": "20386fba5f2573a958729ef558272970d2b25732b9023fc0e8668448d3df8b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10787",
    "kind": "arxiv",
    "version": 2
  }
}