Pith Number

pith:YJEIGFSP

pith:2011:YJEIGFSPPGDAA7EMHCTFVV54IE

not attested not anchored not stored refs pending

Enumerative $g$-theorems for the Veronese construction for formal power series and graded algebras

Martina Kubitzke, Volkmar Welker

arxiv:1108.2852 v1 · 2011-08-14 · math.CO · 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{YJEIGFSPPGDAA7EMHCTFVV54IE}

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	2026-05-18T04:15:29.050902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c24883164f7986007c8c38a65ad7bc412aae1df07926227707ea0515cce3db2b

Aliases

arxiv: 1108.2852 · arxiv_version: 1108.2852v1 · doi: 10.48550/arxiv.1108.2852 · pith_short_12: YJEIGFSPPGDA · pith_short_16: YJEIGFSPPGDAA7EM · pith_short_8: YJEIGFSP

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/YJEIGFSPPGDAA7EMHCTFVV54IE \
  | 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: c24883164f7986007c8c38a65ad7bc412aae1df07926227707ea0515cce3db2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd9a6531ce77d60564780beb58c1f721d2f020ed163e5bad909e30c74688ffaf",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-14T09:13:23Z",
    "title_canon_sha256": "5e0dd38a35f0159f8ff09eb7581f8125bd671162ac75d17710ff811c3e62a63a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2852",
    "kind": "arxiv",
    "version": 1
  }
}