Pith Number

pith:JQCSBGQS

pith:2020:JQCSBGQSMSII3Q3JLYYKFE7KJM

not attested not anchored not stored refs pending

Projective and affine structures in positive characteristic I: Chern class formulas and Characterizations of projective spaces

Yasuhiro Wakabayashi

arxiv:2011.04846 v3 · 2020-11-10 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQCSBGQSMSII3Q3JLYYKFE7KJM}

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.

Cited by

1 paper in Pith

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper

Receipt and verification

First computed	2026-05-20T00:04:02.998892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c05209a1264908dc3695e30a293ea4b3cfe11098ddb35fd48fbc18795c3b7a9

Aliases

arxiv: 2011.04846 · arxiv_version: 2011.04846v3 · doi: 10.48550/arxiv.2011.04846 · pith_short_12: JQCSBGQSMSII · pith_short_16: JQCSBGQSMSII3Q3J · pith_short_8: JQCSBGQS

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/JQCSBGQSMSII3Q3JLYYKFE7KJM \
  | 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: 4c05209a1264908dc3695e30a293ea4b3cfe11098ddb35fd48fbc18795c3b7a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed00cf2b3cf4ce193d3af9201944812ae994bf21fb16c7c2b41860350ae50f63",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-11-10T00:43:06Z",
    "title_canon_sha256": "0e5170d4e183d5078575a532f3604a679585bfc8b909b26b3e90e653e9d6a709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.04846",
    "kind": "arxiv",
    "version": 3
  }
}