Pith Number

pith:UPOI6B5F

pith:2004:UPOI6B5F7VXISHAZCJIENMXV2J

not attested not anchored not stored refs pending

Moderate deviation probabilities for open convex sets: nonlogarithmic behavior

James Kuelbs, Uwe Einmahl

arxiv:math/0410139 v1 · 2004-10-06 · 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{UPOI6B5F7VXISHAZCJIENMXV2J}

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	2026-05-18T01:05:25.849608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3dc8f07a5fd6e891c19125046b2f5d25cf5c4f4193f16e72810c5869c9e7c91

Aliases

arxiv: math/0410139 · arxiv_version: math/0410139v1 · doi: 10.48550/arxiv.math/0410139 · pith_short_12: UPOI6B5F7VXI · pith_short_16: UPOI6B5F7VXISHAZ · pith_short_8: UPOI6B5F

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/UPOI6B5F7VXISHAZCJIENMXV2J \
  | 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: a3dc8f07a5fd6e891c19125046b2f5d25cf5c4f4193f16e72810c5869c9e7c91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76c5a3e6511d04724aece86deb8074b089344873703f452ab099a0ea715016ca",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-10-06T06:30:23Z",
    "title_canon_sha256": "9b1e869d42c1182d9a2a1e7be6e41be1f6153634f0022b838e752eee401da12a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410139",
    "kind": "arxiv",
    "version": 1
  }
}