Pith Number

pith:AT2MAJDQ

pith:2022:AT2MAJDQILTZI6CHM3X7ODDK6A

not attested not anchored not stored refs pending

Diagonal property and weak point property of higher rank divisors and certain Hilbert schemes

Arijit Mukherjee

arxiv:2212.04238 v2 · 2022-12-08 · 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{AT2MAJDQILTZI6CHM3X7ODDK6A}

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	2026-07-05T06:16:14.146410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04f4c0247042e794784766eff70c6af00f98bee963bc746201c66a3e81018caa

Aliases

arxiv: 2212.04238 · arxiv_version: 2212.04238v2 · doi: 10.48550/arxiv.2212.04238 · pith_short_12: AT2MAJDQILTZ · pith_short_16: AT2MAJDQILTZI6CH · pith_short_8: AT2MAJDQ

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/AT2MAJDQILTZI6CHM3X7ODDK6A \
  | 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: 04f4c0247042e794784766eff70c6af00f98bee963bc746201c66a3e81018caa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a029018e6937b408b9095b71e2703b484ced25a890ed493f231ef820b054de0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-12-08T12:41:07Z",
    "title_canon_sha256": "f8ee36dbbfae96f1524bdd610cd7a043e27eb29fe8f0bd0b95d88af24556ef4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.04238",
    "kind": "arxiv",
    "version": 2
  }
}