Pith Number

pith:CCUNHZPS

pith:2003:CCUNHZPS55QSFAIUPNSGKLYTTI

not attested not anchored not stored refs pending

Dedekind Zeta Functions and the Complexity of Hilbert's Nullstellensatz

J. Maurice Rojas

arxiv:math/0301111 v2 · 2003-01-11 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCUNHZPS55QSFAIUPNSGKLYTTI}

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.

Cited by

1 paper in Pith

Positivity of Schubert Coefficients

Receipt and verification

First computed	2026-07-04T14:36:53.511740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a8d3e5f2ef612281147b64652f139a3371e1286153e93fccf3aea0adb6a279

Aliases

arxiv: math/0301111 · arxiv_version: math/0301111v2 · doi: 10.48550/arxiv.math/0301111 · pith_short_12: CCUNHZPS55QS · pith_short_16: CCUNHZPS55QSFAIU · pith_short_8: CCUNHZPS

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/CCUNHZPS55QSFAIUPNSGKLYTTI \
  | 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: 10a8d3e5f2ef612281147b64652f139a3371e1286153e93fccf3aea0adb6a279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a55419ba408c2c54b33a47bf6b2fc1168bbdbdf7dc1a1ead9ee6e2479c31981a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-01-11T08:13:12Z",
    "title_canon_sha256": "d8f157fe4742558cec3a12d8bce940f7052d6a5ff3b13134c4a664921963300f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301111",
    "kind": "arxiv",
    "version": 2
  }
}