Pith Number

pith:QRLPXF6P

pith:2018:QRLPXF6PBW6VWUGBA4B2HVCPJP

not attested not anchored not stored refs pending

Effective divisors in the projectivized Hodge bundle

Iulia Gheorghita

arxiv:1812.05024 v1 · 2018-12-12 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRLPXF6PBW6VWUGBA4B2HVCPJP}

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	2026-05-17T23:58:26.599469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8456fb97cf0dbd5b50c10703a3d44f4bfd753cd53a5f3e2f8ed343c46e8b9daf

Aliases

arxiv: 1812.05024 · arxiv_version: 1812.05024v1 · doi: 10.48550/arxiv.1812.05024 · pith_short_12: QRLPXF6PBW6V · pith_short_16: QRLPXF6PBW6VWUGB · pith_short_8: QRLPXF6P

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/QRLPXF6PBW6VWUGBA4B2HVCPJP \
  | 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: 8456fb97cf0dbd5b50c10703a3d44f4bfd753cd53a5f3e2f8ed343c46e8b9daf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e01c1eb1e434941c4ca19b1ee86f99876c736319b3da358f55ebe4baba11534",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-12-12T16:52:51Z",
    "title_canon_sha256": "6a82bbc2c2d8c130f573c9acd7814d019dcb5b0aaee70bf23cf81790058cc8c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05024",
    "kind": "arxiv",
    "version": 1
  }
}