Pith Number

pith:TRBZV4XO

pith:2013:TRBZV4XOEY6R6W43F2BIICMMVN

not attested not anchored not stored refs pending

A nonintrusive method to approximate linear systems with nonlinear parameter dependence

Alexandre Ern, Fabien Casenave, Guillaume Sylvand, Tony Leli\`evre

arxiv:1307.4330 v1 · 2013-07-16 · 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{TRBZV4XOEY6R6W43F2BIICMMVN}

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	2026-05-18T03:18:19.075666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c439af2ee263d1f5b9b2e8284098cab4ea88b2ec1366a2dca499cdeb7f93d35

Aliases

arxiv: 1307.4330 · arxiv_version: 1307.4330v1 · doi: 10.48550/arxiv.1307.4330 · pith_short_12: TRBZV4XOEY6R · pith_short_16: TRBZV4XOEY6R6W43 · pith_short_8: TRBZV4XO

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/TRBZV4XOEY6R6W43F2BIICMMVN \
  | 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: 9c439af2ee263d1f5b9b2e8284098cab4ea88b2ec1366a2dca499cdeb7f93d35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62fbb50d07c5322403d86fdd84680d3eafba3e27897f11779852b7e6fee7c6d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-07-16T16:20:14Z",
    "title_canon_sha256": "715eb48e2cab0f3bdaaf07bc0a0a360421dcc51d18e89825c88f714166e32cb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4330",
    "kind": "arxiv",
    "version": 1
  }
}