Pith Number

pith:XKMR5KLE

pith:2014:XKMR5KLERGBC3CAPI5EF25AWMN

not attested not anchored not stored refs pending

A Lower Bound on WAFOM

Takehito Yoshiki

arxiv:1412.4221 v1 · 2014-12-13 · 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{XKMR5KLERGBC3CAPI5EF25AWMN}

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	2026-05-18T02:31:19.857161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba991ea96489822d880f47485d741663634f69fe835d78318a41665301caa075

Aliases

arxiv: 1412.4221 · arxiv_version: 1412.4221v1 · doi: 10.48550/arxiv.1412.4221 · pith_short_12: XKMR5KLERGBC · pith_short_16: XKMR5KLERGBC3CAP · pith_short_8: XKMR5KLE

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/XKMR5KLERGBC3CAPI5EF25AWMN \
  | 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: ba991ea96489822d880f47485d741663634f69fe835d78318a41665301caa075

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cd7b8f53a953a4bd72ec7bd52438cef0f0ae40bf08228f24193e6674df7e84b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-12-13T10:16:28Z",
    "title_canon_sha256": "052841ffecd1a23ab3f0b5dbdcd92a43db44987687800d120fcd42f254bb54e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4221",
    "kind": "arxiv",
    "version": 1
  }
}