Pith Number

pith:6I5Y3L65

pith:2015:6I5Y3L65S4IOHOS3U6UTNWJA5N

not attested not anchored not stored refs pending

On factorization invariants and Hilbert functions

Christopher O'Neill

arxiv:1503.08351 v4 · 2015-03-28 · 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{6I5Y3L65S4IOHOS3U6UTNWJA5N}

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	2026-05-18T00:08:16.492404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f23b8dafdd9710e3ba5ba7a936d920eb5124b1a0425f25e03b697961da245c84

Aliases

arxiv: 1503.08351 · arxiv_version: 1503.08351v4 · doi: 10.48550/arxiv.1503.08351 · pith_short_12: 6I5Y3L65S4IO · pith_short_16: 6I5Y3L65S4IOHOS3 · pith_short_8: 6I5Y3L65

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/6I5Y3L65S4IOHOS3U6UTNWJA5N \
  | 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: f23b8dafdd9710e3ba5ba7a936d920eb5124b1a0425f25e03b697961da245c84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f82acdca96961e7c9fac4b90a2ca8c97a3ae64952163b4cc221a0b95fad0d7b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-03-28T21:08:23Z",
    "title_canon_sha256": "bf496f06e757ba0b3508cc7a9ae0e3ffca3de88b8ab92ee3261415aaf4e81b53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08351",
    "kind": "arxiv",
    "version": 4
  }
}