Pith Number

pith:JMIIUNKV

pith:2013:JMIIUNKVQ5LQ54JVSPCOPY4YNK

not attested not anchored not stored refs pending

Convex bodies and multiplicities of ideals

A. G. Khovanskii, Kiumars Kaveh

arxiv:1302.2676 v3 · 2013-02-12 · math.AC · 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{JMIIUNKVQ5LQ54JVSPCOPY4YNK}

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	2026-05-18T02:57:53.078175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b108a355587570ef13593c4e7e3986ab29323ee28196f1e6b3c0095ac5c88bb

Aliases

arxiv: 1302.2676 · arxiv_version: 1302.2676v3 · doi: 10.48550/arxiv.1302.2676 · pith_short_12: JMIIUNKVQ5LQ · pith_short_16: JMIIUNKVQ5LQ54JV · pith_short_8: JMIIUNKV

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/JMIIUNKVQ5LQ54JVSPCOPY4YNK \
  | 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: 4b108a355587570ef13593c4e7e3986ab29323ee28196f1e6b3c0095ac5c88bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c6986a6263efef87cab50377f3cda3e4da16d6572ad98519e0ead22cc51da7f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-12T00:44:48Z",
    "title_canon_sha256": "b11c8d34885f13c8f4bc0d2aa37069fa79502ce9b35f8e6f772684e3618e63f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2676",
    "kind": "arxiv",
    "version": 3
  }
}