Pith Number

pith:FNRPYLXK

pith:2016:FNRPYLXKN5EDMWUVGI6CYERVXW

not attested not anchored not stored refs pending

Rigorous numerics of tubular, conic, star-shaped neighborhoods of slow manifolds for fast-slow systems

Kaname Matsue

arxiv:1612.02162 v2 · 2016-12-07 · math.DS · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNRPYLXKN5EDMWUVGI6CYERVXW}

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	2026-05-18T00:18:32.041928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b62fc2eea6f48365a95323c2c1235bda52a11cbdb2b52766e7c7fa5f95f9f27

Aliases

arxiv: 1612.02162 · arxiv_version: 1612.02162v2 · doi: 10.48550/arxiv.1612.02162 · pith_short_12: FNRPYLXKN5ED · pith_short_16: FNRPYLXKN5EDMWUV · pith_short_8: FNRPYLXK

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/FNRPYLXKN5EDMWUVGI6CYERVXW \
  | 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: 2b62fc2eea6f48365a95323c2c1235bda52a11cbdb2b52766e7c7fa5f95f9f27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3439a40e0dc95a7848290fa960158e14073c6543e55dcbfdfb582925c78119b",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-07T09:30:30Z",
    "title_canon_sha256": "40dcd834f175d01c7a8fafd4647551216a850ae174cac3eae791118f355698f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02162",
    "kind": "arxiv",
    "version": 2
  }
}