Pith Number

pith:BQYQ7YPZ

pith:2009:BQYQ7YPZRHTEIHTOUTXP37MZJ4

not attested not anchored not stored refs pending

Spectral Theory of Discrete Processes

Myung-Sin Song, Palle E. T. Jorgensen

arxiv:0903.3267 v1 · 2009-03-19 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQYQ7YPZRHTEIHTOUTXP37MZJ4}

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	2026-05-18T00:23:41.261847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c310fe1f989e6441e6ea4eefdfd994f20395c475c5fb7260fe6f716fecb7ded

Aliases

arxiv: 0903.3267 · arxiv_version: 0903.3267v1 · doi: 10.48550/arxiv.0903.3267 · pith_short_12: BQYQ7YPZRHTE · pith_short_16: BQYQ7YPZRHTEIHTO · pith_short_8: BQYQ7YPZ

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/BQYQ7YPZRHTEIHTOUTXP37MZJ4 \
  | 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: 0c310fe1f989e6441e6ea4eefdfd994f20395c475c5fb7260fe6f716fecb7ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83ebc696e506b6b0e24c51729e8d9be010f3465f46e99d6edcf71e45218e46b6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-03-19T03:00:34Z",
    "title_canon_sha256": "41fa79d3cc727e4b464268826eeb15e92ac0937a97468db83f5df5828eed29bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3267",
    "kind": "arxiv",
    "version": 1
  }
}