Pith Number

pith:Y2XOL2DU

pith:2019:Y2XOL2DUOBMT5ECUFTQA4UHK55

not attested not anchored not stored refs pending

Algebraic relations between moments of plane polygons

Boris Shapiro, Ralf Fr\"oberg, Yurii Burman

arxiv:1908.07621 v1 · 2019-08-20 · math.CV · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2XOL2DUOBMT5ECUFTQA4UHK55}

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	2026-07-04T23:58:59.722472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6aee5e87470593e90542ce00e50eaef5a0c20756e7893984e04245a464e59ab

Aliases

arxiv: 1908.07621 · arxiv_version: 1908.07621v1 · doi: 10.48550/arxiv.1908.07621 · pith_short_12: Y2XOL2DUOBMT · pith_short_16: Y2XOL2DUOBMT5ECU · pith_short_8: Y2XOL2DU

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/Y2XOL2DUOBMT5ECUFTQA4UHK55 \
  | 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: c6aee5e87470593e90542ce00e50eaef5a0c20756e7893984e04245a464e59ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08ae4b8498531cd8931e642393e90d177706e3857eee889e90da88699fcb4343",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-08-20T21:46:24Z",
    "title_canon_sha256": "904d63359608ba02f4aec80f6959a75615c209c22ed60a2da40dc5bbab0aa56b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07621",
    "kind": "arxiv",
    "version": 1
  }
}