Pith Number

pith:OE7KEGWS

pith:2011:OE7KEGWSLSBWICWNQEVVN46O44

not attested not anchored not stored refs pending

Multiplier ideals via Mather discrepancy

Lawrence Ein, Mircea Mustata, Shihoko Ishii

arxiv:1107.2192 v1 · 2011-07-12 · 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{OE7KEGWSLSBWICWNQEVVN46O44}

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	2026-05-18T04:18:25.074095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

713ea21ad25c83640acd812b56f3cee719b88a01a8aaf697ff7c6dd944db6cc1

Aliases

arxiv: 1107.2192 · arxiv_version: 1107.2192v1 · doi: 10.48550/arxiv.1107.2192 · pith_short_12: OE7KEGWSLSBW · pith_short_16: OE7KEGWSLSBWICWN · pith_short_8: OE7KEGWS

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/OE7KEGWSLSBWICWNQEVVN46O44 \
  | 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: 713ea21ad25c83640acd812b56f3cee719b88a01a8aaf697ff7c6dd944db6cc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef09e68e624b52b1bea611c239f51e869203a6dd9b66bb23871fe603b8ec828b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-12T06:01:28Z",
    "title_canon_sha256": "47a87aebfbdef7b0bc09372a0b142c6ede3e46e1c5098860bb701d0017c44af5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2192",
    "kind": "arxiv",
    "version": 1
  }
}