Pith Number

pith:UPAYMGWD

pith:2013:UPAYMGWDX5V5YYLZ455T5SF5T7

not attested not anchored not stored refs pending

Asymptotic self-similarity and order-two ergodic theorems for renewal flows

Albert M. Fisher, Marina Talet

arxiv:1304.0816 v1 · 2013-04-03 · 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{UPAYMGWDX5V5YYLZ455T5SF5T7}

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	2026-05-18T03:29:06.058341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3c1861ac3bf6bdc6179e77b3ec8bd9fc3c0344de032a0eeee46395885be906d

Aliases

arxiv: 1304.0816 · arxiv_version: 1304.0816v1 · doi: 10.48550/arxiv.1304.0816 · pith_short_12: UPAYMGWDX5V5 · pith_short_16: UPAYMGWDX5V5YYLZ · pith_short_8: UPAYMGWD

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/UPAYMGWDX5V5YYLZ455T5SF5T7 \
  | 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: a3c1861ac3bf6bdc6179e77b3ec8bd9fc3c0344de032a0eeee46395885be906d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32032f572e7f1d163accbd21bdbb7979fdc3997d4d5b48074c847748f19948b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-03T00:35:51Z",
    "title_canon_sha256": "0efa1586c548d764e92b11df5ebc1371747e0313ac0f06593a3c0e483bd51a1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0816",
    "kind": "arxiv",
    "version": 1
  }
}