Pith Number

pith:VP7F2SZK

pith:2012:VP7F2SZK6R3A5R4XBAHHXRIPCT

not attested not anchored not stored refs pending

On the Complexity of the Multivariate Resultant

Bruno Grenet, Natacha Portier, Pascal Koiran

arxiv:1210.1451 v1 · 2012-10-04 · cs.CC · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VP7F2SZK6R3A5R4XBAHHXRIPCT}

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	2026-05-18T03:34:02.853837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abfe5d4b2af4760ec797080e7bc50f14ff5f31419d5e543c8116c9bb61db6f69

Aliases

arxiv: 1210.1451 · arxiv_version: 1210.1451v1 · doi: 10.48550/arxiv.1210.1451 · pith_short_12: VP7F2SZK6R3A · pith_short_16: VP7F2SZK6R3A5R4X · pith_short_8: VP7F2SZK

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/VP7F2SZK6R3A5R4XBAHHXRIPCT \
  | 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: abfe5d4b2af4760ec797080e7bc50f14ff5f31419d5e543c8116c9bb61db6f69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bc3eb33740ab0c0c3d57c75df9ea0310c42f77c2d7fe12dbdb1cad1b9da980a",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-10-04T14:11:43Z",
    "title_canon_sha256": "edb41eba1e9866772981e176ff9feeb702c554f89b74a130c12d3c61b76631a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1451",
    "kind": "arxiv",
    "version": 1
  }
}