Pith Number

pith:KYD2TGV3

pith:2013:KYD2TGV354IUJDJHMUVI5PENQV

not attested not anchored not stored refs pending

Spectral computations for birth and death chains

Guan-Yu Chen, Laurent Saloff-Coste

arxiv:1305.0353 v1 · 2013-05-02 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KYD2TGV354IUJDJHMUVI5PENQV}

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	2026-05-18T03:26:40.489021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5607a99abbef11448d27652a8ebc8d85490b92928f9d3f4d1855674f91312a85

Aliases

arxiv: 1305.0353 · arxiv_version: 1305.0353v1 · doi: 10.48550/arxiv.1305.0353 · pith_short_12: KYD2TGV354IU · pith_short_16: KYD2TGV354IUJDJH · pith_short_8: KYD2TGV3

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/KYD2TGV354IUJDJHMUVI5PENQV \
  | 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: 5607a99abbef11448d27652a8ebc8d85490b92928f9d3f4d1855674f91312a85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c8a5d0f48590d0510750d92d36a562c89cdb582aff932fedec09bd758f3147f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-02T07:10:24Z",
    "title_canon_sha256": "c6acb00d7989efbb4957f89c38f5e0ec42ead6973ebf7f458052285b90271497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0353",
    "kind": "arxiv",
    "version": 1
  }
}