Pith Number

pith:Y5A62EFR

pith:2012:Y5A62EFRQLZPICSFYN35FNIRBL

not attested not anchored not stored refs pending

Normal Bundle of Rational Curves and Waring Decomposition

Alessandro Bernardi

arxiv:1203.4955 v4 · 2012-03-22 · 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{Y5A62EFRQLZPICSFYN35FNIRBL}

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	2026-05-18T02:29:16.197362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c741ed10b182f2f40a45c377d2b5110adcf273897b701228a54940c08fb28080

Aliases

arxiv: 1203.4955 · arxiv_version: 1203.4955v4 · doi: 10.48550/arxiv.1203.4955 · pith_short_12: Y5A62EFRQLZP · pith_short_16: Y5A62EFRQLZPICSF · pith_short_8: Y5A62EFR

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/Y5A62EFRQLZPICSFYN35FNIRBL \
  | 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: c741ed10b182f2f40a45c377d2b5110adcf273897b701228a54940c08fb28080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceb905ef4ab24de724c84bd64fd9b5d6ff0608f50026bdc26fb6dc7f3779cf7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-22T10:33:13Z",
    "title_canon_sha256": "ba949869a099439eaf616724c42b0faf10ffe3cc9b893f0562ed68238f097a58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4955",
    "kind": "arxiv",
    "version": 4
  }
}