Pith Number

pith:YLMKWUQZ

pith:2012:YLMKWUQZIBZEZCJ4EUWLPXQEJI

not attested not anchored not stored refs pending

Solution to the Volterra Matrix Equation of the 1st kind with Piecewise Continuous Kernels

Denis Sidorov

arxiv:1208.6351 v1 · 2012-08-31 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YLMKWUQZIBZEZCJ4EUWLPXQEJI}

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	2026-05-18T03:46:33.577220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2d8ab521940724c893c252cb7de044a31e705db018cfd6520df647516ae158b

Aliases

arxiv: 1208.6351 · arxiv_version: 1208.6351v1 · doi: 10.48550/arxiv.1208.6351 · pith_short_12: YLMKWUQZIBZE · pith_short_16: YLMKWUQZIBZEZCJ4 · pith_short_8: YLMKWUQZ

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/YLMKWUQZIBZEZCJ4EUWLPXQEJI \
  | 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: c2d8ab521940724c893c252cb7de044a31e705db018cfd6520df647516ae158b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3505808e1cb525731426cf1469e073688918f8e7c2b111987aa95ca775b1ce69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-31T02:20:18Z",
    "title_canon_sha256": "bbb47536682d91fe2a11c8414e41dfb145319ae638335e19fe7f7813805aad93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6351",
    "kind": "arxiv",
    "version": 1
  }
}