Pith Number

pith:IRCYPYIP

pith:2015:IRCYPYIPM2KNOE3TNQK5ZF66AP

not attested not anchored not stored refs pending

Methods for estimating the upcrossings index: improvements ans comparison

Ana Paula Martins, Jo\~ao Renato Sebasti\~ao

arxiv:1508.00053 v1 · 2015-07-31 · 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{IRCYPYIPM2KNOE3TNQK5ZF66AP}

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	2026-05-18T01:35:59.229067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

444587e10f6694d713736c15dc97de03f5459cc83a46864d6d450c66c185ffa1

Aliases

arxiv: 1508.00053 · arxiv_version: 1508.00053v1 · doi: 10.48550/arxiv.1508.00053 · pith_short_12: IRCYPYIPM2KN · pith_short_16: IRCYPYIPM2KNOE3T · pith_short_8: IRCYPYIP

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/IRCYPYIPM2KNOE3TNQK5ZF66AP \
  | 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: 444587e10f6694d713736c15dc97de03f5459cc83a46864d6d450c66c185ffa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4e98394ddf5ea2aaf3720e79bc49dd7018ee780d15eb1b1b7afeaeb32a166dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-31T23:38:59Z",
    "title_canon_sha256": "a19d91b4bbff543ba53400c71772e55e8b0140f5b661c4a9e070d3e89bc1555c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00053",
    "kind": "arxiv",
    "version": 1
  }
}