Pith Number

pith:QQWETNYO

pith:2016:QQWETNYOMPNZIZKWAMK2MUYW3Z

not attested not anchored not stored refs pending

Enumerative Aspects of Nullstellensatz Certificates

Bart Sevenster, Jacob Turner

arxiv:1607.05031 v1 · 2016-07-18 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQWETNYOMPNZIZKWAMK2MUYW3Z}

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	2026-05-18T01:10:56.092629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

842c49b70e63db9465560315a65316de4e5d53db9807cc54cc0e28338ce9ec86

Aliases

arxiv: 1607.05031 · arxiv_version: 1607.05031v1 · doi: 10.48550/arxiv.1607.05031 · pith_short_12: QQWETNYOMPNZ · pith_short_16: QQWETNYOMPNZIZKW · pith_short_8: QQWETNYO

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/QQWETNYOMPNZIZKWAMK2MUYW3Z \
  | 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: 842c49b70e63db9465560315a65316de4e5d53db9807cc54cc0e28338ce9ec86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b37b123bb24e2fef26594043cb922a4f1678ebe245e04fd0d2e536d2a4d7422",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-18T11:58:00Z",
    "title_canon_sha256": "dac155b412d8eee01ea136e79c47e48280d8a2671fb705366ed0bdd68c0c1b7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05031",
    "kind": "arxiv",
    "version": 1
  }
}