Pith Number

pith:ZMGSFGJX

pith:2009:ZMGSFGJXFH4FZLO2QKBJXZWWQ5

not attested not anchored not stored refs pending

Extending polynomials in maximal and minimal ideals

Daniel Carando, Daniel Galicer

arxiv:0910.3888 v2 · 2009-10-20 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMGSFGJXFH4FZLO2QKBJXZWWQ5}

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	2026-05-18T04:04:31.372665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb0d22993729f85cadda82829be6d687439c58805026387b61499ced6740e838

Aliases

arxiv: 0910.3888 · arxiv_version: 0910.3888v2 · doi: 10.48550/arxiv.0910.3888 · pith_short_12: ZMGSFGJXFH4F · pith_short_16: ZMGSFGJXFH4FZLO2 · pith_short_8: ZMGSFGJX

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/ZMGSFGJXFH4FZLO2QKBJXZWWQ5 \
  | 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: cb0d22993729f85cadda82829be6d687439c58805026387b61499ced6740e838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f01078becdd822bb5826d098796eef05035265d3092d37b09b751ef3c0d8864",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-10-20T15:58:30Z",
    "title_canon_sha256": "673c090cbc09870bc02fd4c51d1c32424aa4f26d5ade2b6877b10ae84f624cf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.3888",
    "kind": "arxiv",
    "version": 2
  }
}