Pith Number

pith:54NIG4JW

pith:2013:54NIG4JWCBO6Z6C2D56S3Z2XIY

not attested not anchored not stored refs pending

A duality theorem for syzygies of Veronese ideals

Stepan Paul

arxiv:1311.5653 v2 · 2013-11-22 · math.AC · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54NIG4JWCBO6Z6C2D56S3Z2XIY}

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	2026-05-18T02:39:48.557947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef1a837136105decf85a1f7d2de757461e8cdd25f1a6376bb822570bdfb83930

Aliases

arxiv: 1311.5653 · arxiv_version: 1311.5653v2 · doi: 10.48550/arxiv.1311.5653 · pith_short_12: 54NIG4JWCBO6 · pith_short_16: 54NIG4JWCBO6Z6C2 · pith_short_8: 54NIG4JW

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/54NIG4JWCBO6Z6C2D56S3Z2XIY \
  | 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: ef1a837136105decf85a1f7d2de757461e8cdd25f1a6376bb822570bdfb83930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "097044295b5f76adb4de88804120263a8eee043428eb76131d91066553f67daa",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-11-22T05:01:19Z",
    "title_canon_sha256": "62ff3568a5451df09d3980708717d0a8b1e3e960c4048ac1759840e500eec7af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5653",
    "kind": "arxiv",
    "version": 2
  }
}