Pith Number

pith:QQL4H75A

pith:2017:QQL4H75AF2QQL6SJDU6HZ3ZF4N

not attested not anchored not stored refs pending

Tropical Combinatorial Nullstellensatz and Sparse Polynomials

Dima Grigoriev, Vladimir V. Podolskii

arxiv:1706.00080 v3 · 2017-05-31 · math.AG · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQL4H75AF2QQL6SJDU6HZ3ZF4N}

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	2026-05-17T23:47:49.296806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8417c3ffa02ea105fa491d3c7cef25e3430d8d0f102ee5990b9d12cbcb428ebe

Aliases

arxiv: 1706.00080 · arxiv_version: 1706.00080v3 · doi: 10.48550/arxiv.1706.00080 · pith_short_12: QQL4H75AF2QQ · pith_short_16: QQL4H75AF2QQL6SJ · pith_short_8: QQL4H75A

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/QQL4H75AF2QQL6SJDU6HZ3ZF4N \
  | 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: 8417c3ffa02ea105fa491d3c7cef25e3430d8d0f102ee5990b9d12cbcb428ebe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "915bd6f8b696e7bb5fb6cb9df3b2a79fd58e3ccbfb7063aff40aa7ec04e30dc2",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-31T20:40:01Z",
    "title_canon_sha256": "7e3c8a5db7f465ca9cae7d2b004588b3a50e979889074b23e0f8b13bd21663f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00080",
    "kind": "arxiv",
    "version": 3
  }
}