Pith Number

pith:O6WRCZQM

pith:2012:O6WRCZQMYVP5MONSRBWZ7FD6VG

not attested not anchored not stored refs pending

On polynomials with given Hilbert function and applications

Alessandra Bernardi, Joachim Jelisiejew, Kristian Ranestad, Pedro Macias Marques

arxiv:1211.7306 v6 · 2012-11-30 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6WRCZQMYVP5MONSRBWZ7FD6VG}

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	2026-05-18T00:26:40.507228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77ad11660cc55fd639b2886d9f947ea9ab8857b2a7c20931fad939aa69902b09

Aliases

arxiv: 1211.7306 · arxiv_version: 1211.7306v6 · doi: 10.48550/arxiv.1211.7306 · pith_short_12: O6WRCZQMYVP5 · pith_short_16: O6WRCZQMYVP5MONS · pith_short_8: O6WRCZQM

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/O6WRCZQMYVP5MONSRBWZ7FD6VG \
  | 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: 77ad11660cc55fd639b2886d9f947ea9ab8857b2a7c20931fad939aa69902b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aefd14034c1afae01a019e535559043bfe665364677d7a482f024e5669c1b655",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-11-30T16:35:42Z",
    "title_canon_sha256": "0d752f746d6c55d2792f8efdaa109e3f4c10d72f69d05c8d4f23d6b95267e0e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7306",
    "kind": "arxiv",
    "version": 6
  }
}