Pith Number

pith:33A453HO

pith:2010:33A453HODQSALNFQC7WRJ5KM7G

not attested not anchored not stored refs pending

Convex bodies associated to actions of reductive groups

Askold G. Khovanskii, Kiumars Kaveh

arxiv:1001.4830 v2 · 2010-01-27 · math.AG · math.RT · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33A453HODQSALNFQC7WRJ5KM7G}

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	2026-05-18T03:59:03.426694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dec1ceecee1c2405b4b017ed14f54cf99adc48513310b4200717bfb4231d0261

Aliases

arxiv: 1001.4830 · arxiv_version: 1001.4830v2 · doi: 10.48550/arxiv.1001.4830 · pith_short_12: 33A453HODQSA · pith_short_16: 33A453HODQSALNFQ · pith_short_8: 33A453HO

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/33A453HODQSALNFQC7WRJ5KM7G \
  | 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: dec1ceecee1c2405b4b017ed14f54cf99adc48513310b4200717bfb4231d0261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "058298fe7fdb03d7abb933ce52e59edf4f607fd0a751811261e5a6e7be8d8ef9",
    "cross_cats_sorted": [
      "math.RT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-01-27T00:35:49Z",
    "title_canon_sha256": "f6b094d6e5dd3f5f3824bacee4d3a429cff4b94e676e62e9315b56584dae1b36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4830",
    "kind": "arxiv",
    "version": 2
  }
}