Pith Number

pith:JFVTELD4

pith:2014:JFVTELD4RBLELFZTTM7IZBXWVM

not attested not anchored not stored refs pending

A unified understanding of the two formulae for the traces of the inverse powers of a positive definite symmetric tridiagonal matrix

Takumi Yamashita

arxiv:1411.3463 v1 · 2014-11-13 · 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{JFVTELD4RBLELFZTTM7IZBXWVM}

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	2026-05-18T02:37:43.697448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

496b322c7c88564597339b3e8c86f6ab0d61fb3343f906fe2b2c3e2be4e49212

Aliases

arxiv: 1411.3463 · arxiv_version: 1411.3463v1 · doi: 10.48550/arxiv.1411.3463 · pith_short_12: JFVTELD4RBLE · pith_short_16: JFVTELD4RBLELFZT · pith_short_8: JFVTELD4

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/JFVTELD4RBLELFZTTM7IZBXWVM \
  | 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: 496b322c7c88564597339b3e8c86f6ab0d61fb3343f906fe2b2c3e2be4e49212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6450da6fdabddf0a0c5b1380f52878d56e3de68ff6e2e6cc076f9fff7e0f2f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-11-13T08:34:11Z",
    "title_canon_sha256": "029ada051082d4a26a314df88647fa48df0b707aaba7b1d20f5c00ff068bed32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3463",
    "kind": "arxiv",
    "version": 1
  }
}