Pith Number

pith:UCODSUPL

pith:2008:UCODSUPLBXBNUL5IDKAEZHHSGZ

not attested not anchored not stored refs pending

Algebro-gemetric aspects of Heine-Stieltjes theory

Boris Shapiro

arxiv:0812.4193 v1 · 2008-12-22 · 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{UCODSUPLBXBNUL5IDKAEZHHSGZ}

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	2026-05-18T02:58:10.862345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a09c3951eb0dc2da2fa81a804c9cf2365b4580d2a986f59c8aae514a79f5f430

Aliases

arxiv: 0812.4193 · arxiv_version: 0812.4193v1 · doi: 10.48550/arxiv.0812.4193 · pith_short_12: UCODSUPLBXBN · pith_short_16: UCODSUPLBXBNUL5I · pith_short_8: UCODSUPL

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/UCODSUPLBXBNUL5IDKAEZHHSGZ \
  | 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: a09c3951eb0dc2da2fa81a804c9cf2365b4580d2a986f59c8aae514a79f5f430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a6581aa8871e039cb8cb7e957eb0fdc07cb4585fa7339dbea08392262565ebc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-12-22T14:10:23Z",
    "title_canon_sha256": "e2ec986a2137bed36756ee2bd5542085e50bdb9369e184aa074182827307f0d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4193",
    "kind": "arxiv",
    "version": 1
  }
}