Pith Number

pith:OGNRISS3

pith:2008:OGNRISS3AOKJOCIAR46UU433MQ

not attested not anchored not stored refs pending

Eigenvalue multiplicity and volume growth

James R. Lee, Yury Makarychev

arxiv:0806.1745 v2 · 2008-06-10 · math.MG · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OGNRISS3AOKJOCIAR46UU433MQ}

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	2026-07-04T15:40:05.801625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

719b144a5b03949709008f3d4a737b6400081752f859b45a9c47b5ecf141eda2

Aliases

arxiv: 0806.1745 · arxiv_version: 0806.1745v2 · doi: 10.48550/arxiv.0806.1745 · pith_short_12: OGNRISS3AOKJ · pith_short_16: OGNRISS3AOKJOCIA · pith_short_8: OGNRISS3

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/OGNRISS3AOKJOCIAR46UU433MQ \
  | 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: 719b144a5b03949709008f3d4a737b6400081752f859b45a9c47b5ecf141eda2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a8a48bd76bd3a64d56a7930945e82fdc895574f7067de71d057f84b82e843cb",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2008-06-10T20:34:17Z",
    "title_canon_sha256": "5c4aa7323620a58c7d2f927676d48057e150e6d86c705ccb203ea22eb7c2af31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.1745",
    "kind": "arxiv",
    "version": 2
  }
}