Pith Number

pith:XKG2WK57

pith:2012:XKG2WK5743KGCFSMBFDGLIP4ZR

not attested not anchored not stored refs pending

Quadratic embeddings

Corrado Zanella, Hans Havlicek

arxiv:1210.2054 v1 · 2012-10-07 · 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{XKG2WK5743KGCFSMBFDGLIP4ZR}

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	2026-05-18T03:43:51.240507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba8dab2bbfe6d461164c094665a1fccc4fc1250b1712ecaa67d8ee7b5f3dd57e

Aliases

arxiv: 1210.2054 · arxiv_version: 1210.2054v1 · doi: 10.48550/arxiv.1210.2054 · pith_short_12: XKG2WK5743KG · pith_short_16: XKG2WK5743KGCFSM · pith_short_8: XKG2WK57

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/XKG2WK5743KGCFSMBFDGLIP4ZR \
  | 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: ba8dab2bbfe6d461164c094665a1fccc4fc1250b1712ecaa67d8ee7b5f3dd57e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f2674e11a2d620b6598594e6ec3689ba949a6076feecb9eed3d46c3aa7d0ea6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-07T13:31:06Z",
    "title_canon_sha256": "b2baade73a7b165f940cc0613e0bd95bc46018fef9e6e9dde5e60a87dcbb3cfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2054",
    "kind": "arxiv",
    "version": 1
  }
}