Pith Number

pith:NNAWLJCW

pith:2010:NNAWLJCW4CEHVUCIOI57UBU2ZR

not attested not anchored not stored refs pending

Apolarity, Hessian and Macaulay polynomials

Elisa Postinghel, Lorenzo Di Biagio

arxiv:1007.4891 v2 · 2010-07-28 · math.AG · 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{NNAWLJCW4CEHVUCIOI57UBU2ZR}

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	2026-05-18T03:43:53.068964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b4165a456e0887ad048723bfa069acc768053d6fe393c7b5662203ae80f9d1b

Aliases

arxiv: 1007.4891 · arxiv_version: 1007.4891v2 · doi: 10.48550/arxiv.1007.4891 · pith_short_12: NNAWLJCW4CEH · pith_short_16: NNAWLJCW4CEHVUCI · pith_short_8: NNAWLJCW

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/NNAWLJCW4CEHVUCIOI57UBU2ZR \
  | 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: 6b4165a456e0887ad048723bfa069acc768053d6fe393c7b5662203ae80f9d1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09f5b211c128aa0a114c2346447e04fe50ae9770049106d58d173eb07be3a220",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-28T08:15:08Z",
    "title_canon_sha256": "441e647fa04136265ce62c012dbe29be62c3cbb517d608fc24d3b953ca672aff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4891",
    "kind": "arxiv",
    "version": 2
  }
}