Pith Number

pith:FJGGLINA

pith:2011:FJGGLINADLEUXPFKVVN6IOIYBE

not attested not anchored not stored refs pending

Positive and negative growth rates of measures and pointwise bounds of solutions of eigenvalue equations

Hironori Kumura

arxiv:1108.0034 v3 · 2011-07-30 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJGGLINADLEUXPFKVVN6IOIYBE}

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	2026-05-18T03:49:47.507417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a4c65a1a01ac94bbcaaad5be43918093062b94143f82627874cef9a6eb2d504

Aliases

arxiv: 1108.0034 · arxiv_version: 1108.0034v3 · doi: 10.48550/arxiv.1108.0034 · pith_short_12: FJGGLINADLEU · pith_short_16: FJGGLINADLEUXPFK · pith_short_8: FJGGLINA

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/FJGGLINADLEUXPFKVVN6IOIYBE \
  | 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: 2a4c65a1a01ac94bbcaaad5be43918093062b94143f82627874cef9a6eb2d504

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0922776528f6d03726db2e11c1581910be7c8af8e03a36ce919be3034f7f3cd6",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-30T03:27:15Z",
    "title_canon_sha256": "7059ccb03a254b150200cfbc570c4033906ad61ac5324f7231797a6e7a5a9de6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0034",
    "kind": "arxiv",
    "version": 3
  }
}