Pith Number

pith:JPOF3D4H

pith:2010:JPOF3D4HIH4S5RZ7373AYDDVDH

not attested not anchored not stored refs pending

A recombination algorithm for the decomposition of multivariate rational functions

Guillaume Ch\`eze (IMT)

arxiv:1011.0972 v1 · 2010-11-03 · cs.SC · cs.DS · 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{JPOF3D4HIH4S5RZ7373AYDDVDH}

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	2026-05-18T02:58:01.556568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bdc5d8f8741f92ec73fdff60c0c7519ee632435e5100ca8678143dfaa773204

Aliases

arxiv: 1011.0972 · arxiv_version: 1011.0972v1 · doi: 10.48550/arxiv.1011.0972 · pith_short_12: JPOF3D4HIH4S · pith_short_16: JPOF3D4HIH4S5RZ7 · pith_short_8: JPOF3D4H

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/JPOF3D4HIH4S5RZ7373AYDDVDH \
  | 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: 4bdc5d8f8741f92ec73fdff60c0c7519ee632435e5100ca8678143dfaa773204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce3eef5581dc1e5e68ea752e23075bace50ed98a1fcb83b0ab22e37c0b451a91",
    "cross_cats_sorted": [
      "cs.DS",
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2010-11-03T19:01:48Z",
    "title_canon_sha256": "86163a48c56bafb97d0d2149ea56d9647ea8db04a1db677c3374dc39bbfeb111"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0972",
    "kind": "arxiv",
    "version": 1
  }
}