Pith Number

pith:N4XF4LB4

pith:2012:N4XF4LB4GLVXPH4WMKTCWBY5VQ

not attested not anchored not stored refs pending

Center Manifold Theorem and Stability for Integral Equations with Infinite Delay

Hideaki Matsunaga, Nguyen Van Minh, Satoru Murakami, Yutaka Nagabuchi

arxiv:1212.0817 v1 · 2012-12-04 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4XF4LB4GLVXPH4WMKTCWBY5VQ}

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	2026-05-18T03:39:15.151555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f2e5e2c3c32eb779f9662a62b071dac1f7339dd1d4f15321adc7dce123fe146

Aliases

arxiv: 1212.0817 · arxiv_version: 1212.0817v1 · doi: 10.48550/arxiv.1212.0817 · pith_short_12: N4XF4LB4GLVX · pith_short_16: N4XF4LB4GLVXPH4W · pith_short_8: N4XF4LB4

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/N4XF4LB4GLVXPH4WMKTCWBY5VQ \
  | 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: 6f2e5e2c3c32eb779f9662a62b071dac1f7339dd1d4f15321adc7dce123fe146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "728d9471aba977fd46c795e126913622b29fe76161349ca6e4c941718ca4278f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-04T18:28:47Z",
    "title_canon_sha256": "9a144f3724d16b611003bae93505c0ab191353b2fd20bac746846b1fcdf7bd60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0817",
    "kind": "arxiv",
    "version": 1
  }
}