Pith Number

pith:NFAYZWSM

pith:2010:NFAYZWSMJAGWPAHISQE3EC3N64

not attested not anchored not stored refs pending

Zero Decomposition with Multiplicity of Zero-Dimensional Polynomial Systems

Bican Xia, Yinglin Li, Zhihai Zhang

arxiv:1011.1634 v1 · 2010-11-07 · cs.SC · cs.LO · 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{NFAYZWSMJAGWPAHISQE3EC3N64}

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	2026-05-18T02:23:37.427041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69418cda4c480d6780e89409b20b6df73c0d11799303a5439277912d6848be6d

Aliases

arxiv: 1011.1634 · arxiv_version: 1011.1634v1 · doi: 10.48550/arxiv.1011.1634 · pith_short_12: NFAYZWSMJAGW · pith_short_16: NFAYZWSMJAGWPAHI · pith_short_8: NFAYZWSM

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/NFAYZWSMJAGWPAHISQE3EC3N64 \
  | 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: 69418cda4c480d6780e89409b20b6df73c0d11799303a5439277912d6848be6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecaf8fe9605fec9da1a38f9749e23a0c4dfb8e817a4a1ad37382f7967e01cf3d",
    "cross_cats_sorted": [
      "cs.LO",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2010-11-07T12:04:15Z",
    "title_canon_sha256": "b91fb783d6f79c415a0b4efd8f0e07dc3fb437a33c5b0352718fda32e0541f13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1634",
    "kind": "arxiv",
    "version": 1
  }
}