Pith Number

pith:WGUMKTWI

pith:2012:WGUMKTWIXVO47RMTM3N6P7BQWK

not attested not anchored not stored refs pending

Sharp estimates on the tail behavior of a multistable distribution

Antoine Ayache

arxiv:1208.0911 v1 · 2012-08-04 · 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{WGUMKTWIXVO47RMTM3N6P7BQWK}

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	2026-05-18T03:49:21.132887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1a8c54ec8bd5dcfc59366dbe7fc30b291e45bf462648bc016068db5374d7969

Aliases

arxiv: 1208.0911 · arxiv_version: 1208.0911v1 · doi: 10.48550/arxiv.1208.0911 · pith_short_12: WGUMKTWIXVO4 · pith_short_16: WGUMKTWIXVO47RMT · pith_short_8: WGUMKTWI

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/WGUMKTWIXVO47RMTM3N6P7BQWK \
  | 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: b1a8c54ec8bd5dcfc59366dbe7fc30b291e45bf462648bc016068db5374d7969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b68b70b45ac52dd1898c918003fe98fedc000057f64effaa3f0a81f13e62c24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-04T10:11:08Z",
    "title_canon_sha256": "03ad0ba63f822b835d9afe91672cd4517e6c1deec0b27309fc203aba0ed43f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0911",
    "kind": "arxiv",
    "version": 1
  }
}