Pith Number

pith:YWUNGAO3

pith:2011:YWUNGAO3VIK6U7UQ4V6S6RLEVB

not attested not anchored not stored refs pending

Extrapolation of stable random fields

Elena Shmileva, Evgeny Spodarev, Wolfgang Karcher

arxiv:1107.1654 v3 · 2011-07-08 · 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{YWUNGAO3VIK6U7UQ4V6S6RLEVB}

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	2026-05-18T02:21:43.194040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5a8d301dbaa15ea7e90e57d2f4564a85111fa156eceb641171f4ebf103b8c3c

Aliases

arxiv: 1107.1654 · arxiv_version: 1107.1654v3 · doi: 10.48550/arxiv.1107.1654 · pith_short_12: YWUNGAO3VIK6 · pith_short_16: YWUNGAO3VIK6U7UQ · pith_short_8: YWUNGAO3

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/YWUNGAO3VIK6U7UQ4V6S6RLEVB \
  | 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: c5a8d301dbaa15ea7e90e57d2f4564a85111fa156eceb641171f4ebf103b8c3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecd5c3f8e7d4e71a1151e7363fefc1ef54d7da8675fa336025358c845590615c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-08T15:08:12Z",
    "title_canon_sha256": "67f8ed1c8c6caf35bda7e04107461ba152de34322bac56eadf747b7f1194f051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1654",
    "kind": "arxiv",
    "version": 3
  }
}