Pith Number

pith:65XDEUK5

pith:2011:65XDEUK5K6MSYN72IQZLHFU6PB

not attested not anchored not stored refs pending

On Finiteness of B-representation and Semi-log Canonical Abundance

Chenyang Xu, Christopher Hacon

arxiv:1107.4149 v2 · 2011-07-21 · 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{65XDEUK5K6MSYN72IQZLHFU6PB}

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	2026-05-18T03:55:12.329549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f76e32515d57992c37fa4432b3969e7852faf065b00c9bda2e51999ba55e9f4f

Aliases

arxiv: 1107.4149 · arxiv_version: 1107.4149v2 · doi: 10.48550/arxiv.1107.4149 · pith_short_12: 65XDEUK5K6MS · pith_short_16: 65XDEUK5K6MSYN72 · pith_short_8: 65XDEUK5

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/65XDEUK5K6MSYN72IQZLHFU6PB \
  | 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: f76e32515d57992c37fa4432b3969e7852faf065b00c9bda2e51999ba55e9f4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66bac6d1db2281330f52b61223ca5f10c98837a2e3bc7ddc8b316da4bebf42dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-21T03:18:17Z",
    "title_canon_sha256": "eaef3050e41d97fc80b58b1ad0d80b891ad226a89bf621ee4db3b9999dcdfe79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4149",
    "kind": "arxiv",
    "version": 2
  }
}