Pith Number

pith:BFC64MBO

pith:2025:BFC64MBOGSYJE7R4XI6D2VYLV5

not attested not anchored not stored refs pending

Solving bihomogeneous polynomial systems with a zero-dimensional projection

Carles Checa, Elias Tsigaridas, Laurent Bus\'e, Mat\'ias Bender

arxiv:2502.07048 v2 · 2025-02-10 · 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{BFC64MBOGSYJE7R4XI6D2VYLV5}

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	2026-07-05T11:42:25.821254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0945ee302e34b0927e3cba3c3d570baf7aaa849422fcbd747809e9a2419f2d40

Aliases

arxiv: 2502.07048 · arxiv_version: 2502.07048v2 · doi: 10.48550/arxiv.2502.07048 · pith_short_12: BFC64MBOGSYJ · pith_short_16: BFC64MBOGSYJE7R4 · pith_short_8: BFC64MBO

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/BFC64MBOGSYJE7R4XI6D2VYLV5 \
  | 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: 0945ee302e34b0927e3cba3c3d570baf7aaa849422fcbd747809e9a2419f2d40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "837621bb9bc6b6ccd2b6e7e1ee6bf5ff0d98f7295813fdabb136a6b297e2f45f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-02-10T21:33:26Z",
    "title_canon_sha256": "e6eea0e5bb2b909e9c2b3c8d14df9fd142cf5d092f1a2e7a68af0e99ce7e4f27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.07048",
    "kind": "arxiv",
    "version": 2
  }
}