Pith Number

pith:5BLMOB72

pith:2015:5BLMOB72Z36GL4O7FRDLVUEFOL

not attested not anchored not stored refs pending

A uniqueness result on the decompositions of a bi-homogeneous polynomial

Alessandra Bernardi, Edoardo Ballico

arxiv:1507.06083 v4 · 2015-07-22 · 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{5BLMOB72Z36GL4O7FRDLVUEFOL}

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	2026-05-18T01:12:36.228000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e856c707facefc65f1df2c46bad08572fbbb2c9dd9d8e048450fbba1c76dc0e4

Aliases

arxiv: 1507.06083 · arxiv_version: 1507.06083v4 · doi: 10.48550/arxiv.1507.06083 · pith_short_12: 5BLMOB72Z36G · pith_short_16: 5BLMOB72Z36GL4O7 · pith_short_8: 5BLMOB72

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/5BLMOB72Z36GL4O7FRDLVUEFOL \
  | 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: e856c707facefc65f1df2c46bad08572fbbb2c9dd9d8e048450fbba1c76dc0e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c9eb3a7387ab4551971d23ce374bf4f216e189f4acb26a9f9753c88e31a39b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-22T07:38:19Z",
    "title_canon_sha256": "9dd47e9eea839f06525a6fb6c7f6aabd13be2058c9f6cac6749b8ff0d0228d3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06083",
    "kind": "arxiv",
    "version": 4
  }
}