Pith Number

pith:5C7474EL

pith:2010:5C7474ELK4SX6HQCL3OODUSCZ5

not attested not anchored not stored refs pending

Projective completions of affine varieties via degree-like functions

Pinaki Mondal

arxiv:1012.0835 v3 · 2010-12-03 · 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{5C7474ELK4SX6HQCL3OODUSCZ5}

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	2026-05-18T03:27:23.359924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8bfcff08b57257f1e025edce1d242cf55ddd092518a565f5986cfab9a849242

Aliases

arxiv: 1012.0835 · arxiv_version: 1012.0835v3 · doi: 10.48550/arxiv.1012.0835 · pith_short_12: 5C7474ELK4SX · pith_short_16: 5C7474ELK4SX6HQC · pith_short_8: 5C7474EL

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/5C7474ELK4SX6HQCL3OODUSCZ5 \
  | 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: e8bfcff08b57257f1e025edce1d242cf55ddd092518a565f5986cfab9a849242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f0cbf0f097628ec880476cbcb9b5592b5ba566fe4ee6df0b83c19356294dd94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-03T20:31:59Z",
    "title_canon_sha256": "a1092e5e3b624b8a774609c6a36fd9402e1d0a339e0ab703af20870dc88438d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0835",
    "kind": "arxiv",
    "version": 3
  }
}