Pith Number

pith:CJZFDZ4B

pith:2010:CJZFDZ4BAVRCKHXWTFY7YLGUXT

not attested not anchored not stored refs pending

Poset Embeddings of Hilbert Functions

Giulio Caviglia, Manoj Kummini

arxiv:1009.4488 v2 · 2010-09-22 · 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{CJZFDZ4BAVRCKHXWTFY7YLGUXT}

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	2026-05-18T03:49:12.173992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

127251e7810562251ef69971fc2cd4bcf9bd7199f7b67feacdcd1ecb1e789cda

Aliases

arxiv: 1009.4488 · arxiv_version: 1009.4488v2 · doi: 10.48550/arxiv.1009.4488 · pith_short_12: CJZFDZ4BAVRC · pith_short_16: CJZFDZ4BAVRCKHXW · pith_short_8: CJZFDZ4B

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/CJZFDZ4BAVRCKHXWTFY7YLGUXT \
  | 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: 127251e7810562251ef69971fc2cd4bcf9bd7199f7b67feacdcd1ecb1e789cda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e133b185348b7d359169ec45c01bccd858b2e6679db4d88cafd3a1874c286823",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-09-22T21:50:00Z",
    "title_canon_sha256": "c2ee1ef46b88512844de7a828a8c2525a8c04a4b209799bc93ef1fc93a04f7d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4488",
    "kind": "arxiv",
    "version": 2
  }
}