Pith Number

pith:IT5T6R3Q

pith:2010:IT5T6R3QIQHDCR4AHGGJOL434H

not attested not anchored not stored refs pending

On homaloidal polynomial functions of degree 3 and prehomogeneous vector spaces

Pierre-Emmanuel Chaput, Pietro Sabatino

arxiv:1011.5975 v1 · 2010-11-27 · 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{IT5T6R3QIQHDCR4AHGGJOL434H}

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	2026-05-18T04:34:37.756692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44fb3f4770440e314780398c972f9be1f486549f8a4267bcb1a24c185ca87900

Aliases

arxiv: 1011.5975 · arxiv_version: 1011.5975v1 · doi: 10.48550/arxiv.1011.5975 · pith_short_12: IT5T6R3QIQHD · pith_short_16: IT5T6R3QIQHDCR4A · pith_short_8: IT5T6R3Q

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/IT5T6R3QIQHDCR4AHGGJOL434H \
  | 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: 44fb3f4770440e314780398c972f9be1f486549f8a4267bcb1a24c185ca87900

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e752ad8918878bfd3f7042dfd384de125090e6c16675563920a4e0c43b980f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-27T14:38:48Z",
    "title_canon_sha256": "e61e9de5fe54dfafd9493f7579a8e7156b0a7c936452a74ef6a6497c8e586a58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5975",
    "kind": "arxiv",
    "version": 1
  }
}