Pith Number

pith:ZNPRDQ3R

pith:2024:ZNPRDQ3RGN7BR7HJ44NBUUUBHX

not attested not anchored not stored refs pending

The general ternary form can be recovered by its Hessian

Ciro Ciliberto, Giorgio Ottaviani, Jerson Caro, Juanita Duque-Rosero

arxiv:2406.05382 v2 · 2024-06-08 · 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{ZNPRDQ3RGN7BR7HJ44NBUUUBHX}

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	2026-07-05T10:29:17.936955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb5f11c371337e18fce9e71a1a52813dcc80ddfbe5e3ddfca3c3047821ef7729

Aliases

arxiv: 2406.05382 · arxiv_version: 2406.05382v2 · doi: 10.48550/arxiv.2406.05382 · pith_short_12: ZNPRDQ3RGN7B · pith_short_16: ZNPRDQ3RGN7BR7HJ · pith_short_8: ZNPRDQ3R

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/ZNPRDQ3RGN7BR7HJ44NBUUUBHX \
  | 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: cb5f11c371337e18fce9e71a1a52813dcc80ddfbe5e3ddfca3c3047821ef7729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65cb22467ce7f545bbbba76115120e8526ecdbf169881b1448972f74312c1f0e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-06-08T07:29:02Z",
    "title_canon_sha256": "21e9f384223737e203d31dfd53fbe15f38e4b26005e695ddaf6f0da23b753ec5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.05382",
    "kind": "arxiv",
    "version": 2
  }
}