Pith Number

pith:FZPRN3TN

pith:2018:FZPRN3TN4S75W5CYPAWHFIWVSI

not attested not anchored not stored refs pending

Asymptotic behavior for the principal eigenvalue of a reinforcement problem

Toshiaki Yachimura

arxiv:1801.09134 v1 · 2018-01-27 · 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{FZPRN3TN4S75W5CYPAWHFIWVSI}

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	2026-05-18T00:24:58.487079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e5f16ee6de4bfdb7458782c72a2d5920163be5643a397165c081fc4558350c9

Aliases

arxiv: 1801.09134 · arxiv_version: 1801.09134v1 · doi: 10.48550/arxiv.1801.09134 · pith_short_12: FZPRN3TN4S75 · pith_short_16: FZPRN3TN4S75W5CY · pith_short_8: FZPRN3TN

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/FZPRN3TN4S75W5CYPAWHFIWVSI \
  | 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: 2e5f16ee6de4bfdb7458782c72a2d5920163be5643a397165c081fc4558350c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b7d4116d44c4086b860a18c6e71e6de54a5738efda481eb73c81e3a684137ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-01-27T20:26:57Z",
    "title_canon_sha256": "ca2bbd10b9468b74e7d7c59d98c3852ca196338ce7caa943d99c2b21e94aef47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09134",
    "kind": "arxiv",
    "version": 1
  }
}