Pith Number

pith:ZDFJIH6L

pith:2010:ZDFJIH6LCW4JGFIGVLYL5BOK6T

not attested not anchored not stored refs pending

Time inhomogeneous Markov chains with wave-like behavior

J. Z\'u\~niga, L. Saloff-Coste

arxiv:1011.1799 v1 · 2010-11-08 · 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{ZDFJIH6LCW4JGFIGVLYL5BOK6T}

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	2026-05-18T04:36:49.857827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8ca941fcb15b8931506aaf0be85caf4fd3e993a84b58cc90773f2c1d8a9f0fe

Aliases

arxiv: 1011.1799 · arxiv_version: 1011.1799v1 · doi: 10.48550/arxiv.1011.1799 · pith_short_12: ZDFJIH6LCW4J · pith_short_16: ZDFJIH6LCW4JGFIG · pith_short_8: ZDFJIH6L

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/ZDFJIH6LCW4JGFIGVLYL5BOK6T \
  | 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: c8ca941fcb15b8931506aaf0be85caf4fd3e993a84b58cc90773f2c1d8a9f0fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5660a3aa51c464ea03fee6360fdf53fb237177810ef4cd822142112f9ba28b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-08T13:35:10Z",
    "title_canon_sha256": "0f3d5deb021df855edee9340007b682a76662c7035da5059d5c5d756e9e271eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1799",
    "kind": "arxiv",
    "version": 1
  }
}