Pith Number

pith:24WYRZHZ

pith:2011:24WYRZHZ46B6QZHSGUJHO5YQSB

not attested not anchored not stored refs pending

Bounds for sectional genera of varieties invariant under Pfaff fields

Marcos Jardim, Maur\'icio Corr\^ea JR.

arxiv:1102.2390 v1 · 2011-02-11 · math.AG · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24WYRZHZ46B6QZHSGUJHO5YQSB}

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	2026-05-18T04:28:56.081355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d72d88e4f9e783e864f235127777109061eb67f923e4dc8080262dc562d5794f

Aliases

arxiv: 1102.2390 · arxiv_version: 1102.2390v1 · doi: 10.48550/arxiv.1102.2390 · pith_short_12: 24WYRZHZ46B6 · pith_short_16: 24WYRZHZ46B6QZHS · pith_short_8: 24WYRZHZ

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/24WYRZHZ46B6QZHSGUJHO5YQSB \
  | 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: d72d88e4f9e783e864f235127777109061eb67f923e4dc8080262dc562d5794f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11c713763b7682e45024d3e3ad17c122f43a21780768a8c2ab015cc75418eb26",
    "cross_cats_sorted": [
      "math.CV",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-11T16:50:47Z",
    "title_canon_sha256": "0788d3e14a00dea7359dab903a58cc3cf760921c934909edfabf159bf2ab1a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2390",
    "kind": "arxiv",
    "version": 1
  }
}