Pith Number

pith:DXSQKRR5

pith:2004:DXSQKRR5QR5VO266GJVGVW2CPP

not attested not anchored not stored refs pending

Polynomial poly-vector fields

Frank Klinker

arxiv:math/0409157 v4 · 2004-09-09 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXSQKRR5QR5VO266GJVGVW2CPP}

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	2026-05-18T04:21:30.303095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1de505463d847b576bde326a6adb427bee8a92ed8674e1e78d40a24a1624b201

Aliases

arxiv: math/0409157 · arxiv_version: math/0409157v4 · doi: 10.48550/arxiv.math/0409157 · pith_short_12: DXSQKRR5QR5V · pith_short_16: DXSQKRR5QR5VO266 · pith_short_8: DXSQKRR5

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/DXSQKRR5QR5VO266GJVGVW2CPP \
  | 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: 1de505463d847b576bde326a6adb427bee8a92ed8674e1e78d40a24a1624b201

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24c1f77e4f8177d1573b6bcc56c9760bf4c8db7062f9c1215f50a86489ec8783",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-09-09T11:16:28Z",
    "title_canon_sha256": "1f0cfd661f459352fd7e1ec6271eeac7b43732245a066fa4f0ebaf4e08abeead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409157",
    "kind": "arxiv",
    "version": 4
  }
}