Pith Number

pith:XAULCRMP

pith:2012:XAULCRMP3HKXBDWED5JB5RM2U4

not attested not anchored not stored refs pending

Division formulas on projective varieties

Lisa Nilsson, Mats Andersson

arxiv:1203.3333 v4 · 2012-03-15 · math.CV · 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{XAULCRMP3HKXBDWED5JB5RM2U4}

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	2026-05-18T01:19:06.613564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b828b1458fd9d5708ec41f521ec59aa7362929a0852438b218f0f00c5d39d47a

Aliases

arxiv: 1203.3333 · arxiv_version: 1203.3333v4 · doi: 10.48550/arxiv.1203.3333 · pith_short_12: XAULCRMP3HKX · pith_short_16: XAULCRMP3HKXBDWE · pith_short_8: XAULCRMP

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/XAULCRMP3HKXBDWED5JB5RM2U4 \
  | 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: b828b1458fd9d5708ec41f521ec59aa7362929a0852438b218f0f00c5d39d47a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5156175451e2351d991f9829f94ab9d2f7d9e8dffa1a7693075c7e37c2fb532",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-03-15T11:54:10Z",
    "title_canon_sha256": "21c62e248eb13ef0976e3097e1f0cab41cc30eaf0d37449fbcc7e2c6f20ab4ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3333",
    "kind": "arxiv",
    "version": 4
  }
}