Pith Number

pith:NQNIWE2H

pith:2021:NQNIWE2HMY3GWIL7MBQVJ6MRRX

not attested not anchored not stored refs pending

Divisors computing minimal log discrepancies on lc surfaces

Jihao Liu, Lingyao Xie

arxiv:2101.00138 v2 · 2021-01-01 · 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{NQNIWE2HMY3GWIL7MBQVJ6MRRX}

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	2026-07-05T02:08:21.558148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c1a8b134766366b217f606154f9918dd847b7af354f4b17ac2f127ca35c765a

Aliases

arxiv: 2101.00138 · arxiv_version: 2101.00138v2 · doi: 10.48550/arxiv.2101.00138 · pith_short_12: NQNIWE2HMY3G · pith_short_16: NQNIWE2HMY3GWIL7 · pith_short_8: NQNIWE2H

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/NQNIWE2HMY3GWIL7MBQVJ6MRRX \
  | 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: 6c1a8b134766366b217f606154f9918dd847b7af354f4b17ac2f127ca35c765a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d58aff99bf33c4bbd2be42091ac0011facd269eb433717736812f6e95c31e627",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-01-01T02:11:43Z",
    "title_canon_sha256": "24691ed5c0711190d6c028769187cf6cbbb2a8653cadddc3e82701fe86738370"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.00138",
    "kind": "arxiv",
    "version": 2
  }
}