Pith Number

pith:FL5MSORM

pith:2013:FL5MSORMRIDZE356WTULQ5CABR

not attested not anchored not stored refs pending

Banach space projections and Petrov-Galerkin estimates

Ari Stern

arxiv:1307.4393 v2 · 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{FL5MSORMRIDZE356WTULQ5CABR}

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	2026-05-18T01:28:06.199713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2afac93a2c8a07926fbeb4e8b874400c5ffaa577ea03a04483f73d05629b8d62

Aliases

arxiv: 1307.4393 · arxiv_version: 1307.4393v2 · doi: 10.48550/arxiv.1307.4393 · pith_short_12: FL5MSORMRIDZ · pith_short_16: FL5MSORMRIDZE356 · pith_short_8: FL5MSORM

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/FL5MSORMRIDZE356WTULQ5CABR \
  | 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: 2afac93a2c8a07926fbeb4e8b874400c5ffaa577ea03a04483f73d05629b8d62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efe4e73e30847f1d565028d92a58f057bc6e08373781d18bdcc8ac3089750b95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-07-16T19:55:30Z",
    "title_canon_sha256": "c1666c0611feead7c9e161959cb43bc3b634cc2468dc5e37303c35491bf53689"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4393",
    "kind": "arxiv",
    "version": 2
  }
}