Pith Number

pith:GRNLMAHG

pith:2006:GRNLMAHGLOTL4P4SGGD5Q5PUST

not attested not anchored not stored refs pending

A note on the first eigenvalue of spherically symmetric manifolds

Cleon S. Barroso, G. Pacelli Bessa

arxiv:math/0609495 v1 · 2006-09-18 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRNLMAHGLOTL4P4SGGD5Q5PUST}

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	2026-05-18T04:28:28.050462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

345ab600e65ba6be3f923187d875f494ffb1cea8e95751126644a5b2c8836eaf

Aliases

arxiv: math/0609495 · arxiv_version: math/0609495v1 · doi: 10.48550/arxiv.math/0609495 · pith_short_12: GRNLMAHGLOTL · pith_short_16: GRNLMAHGLOTL4P4S · pith_short_8: GRNLMAHG

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/GRNLMAHGLOTL4P4SGGD5Q5PUST \
  | 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: 345ab600e65ba6be3f923187d875f494ffb1cea8e95751126644a5b2c8836eaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7daedb078c42c107ed5167d1fe0cdaa79a7bd04b66fe020a4b21a852fb92e085",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-09-18T12:43:30Z",
    "title_canon_sha256": "92a966d477ac91f7b5dc07f1da09f144eb63a1729cb52657598ec0fa7cbd50e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609495",
    "kind": "arxiv",
    "version": 1
  }
}