Pith Number

pith:77WTMFGE

pith:2015:77WTMFGE5KHIAX45TBBYBAIARK

not attested not anchored not stored refs pending

Finite generation of the log canonical ring for 3-folds in char $p$

Joe Waldron

arxiv:1503.03831 v2 · 2015-03-12 · 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{77WTMFGE5KHIAX45TBBYBAIARK}

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

Abundance for threefolds in positive characteristic when $\nu=2$

Receipt and verification

First computed	2026-05-18T01:16:02.888784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffed3614c4ea8e805f9d98438081008a906417c0c8f21a6d33bc1e55a39b6791

Aliases

arxiv: 1503.03831 · arxiv_version: 1503.03831v2 · doi: 10.48550/arxiv.1503.03831 · pith_short_12: 77WTMFGE5KHI · pith_short_16: 77WTMFGE5KHIAX45 · pith_short_8: 77WTMFGE

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/77WTMFGE5KHIAX45TBBYBAIARK \
  | 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: ffed3614c4ea8e805f9d98438081008a906417c0c8f21a6d33bc1e55a39b6791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "528a1337cb9fa58d691bd043fcf88bb72370bf5fb94c8b65aaf2d3f8ed7738cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-12T18:06:29Z",
    "title_canon_sha256": "ab3d70df288ca43b840156d09b46c93404b530e4714ea879ca4467675ef49a69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03831",
    "kind": "arxiv",
    "version": 2
  }
}