Pith Number

pith:PLKYWYKM

pith:2011:PLKYWYKMVSXX2G5JNIHEIHKTFL

not attested not anchored not stored refs pending

Bounds on the denominators in the canonical bundle formula

Enrica Floris

arxiv:1105.4553 v3 · 2011-05-23 · 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{PLKYWYKMVSXX2G5JNIHEIHKTFL}

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	2026-05-18T03:55:23.515404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ad58b614cacaf7d1ba96a0e441d532ac15e026cdd2e27278055ef9ff03809b1

Aliases

arxiv: 1105.4553 · arxiv_version: 1105.4553v3 · doi: 10.48550/arxiv.1105.4553 · pith_short_12: PLKYWYKMVSXX · pith_short_16: PLKYWYKMVSXX2G5J · pith_short_8: PLKYWYKM

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/PLKYWYKMVSXX2G5JNIHEIHKTFL \
  | 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: 7ad58b614cacaf7d1ba96a0e441d532ac15e026cdd2e27278055ef9ff03809b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fed349cd32292d00554907508d57571ce4cab7a3c16632135adcd7be7ae5418",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-23T16:28:21Z",
    "title_canon_sha256": "419a70ca1c60cb862f58f66f0fa3cde58b05e736b532cfde86ad72d2eb08fc56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4553",
    "kind": "arxiv",
    "version": 3
  }
}