Pith Number

pith:575AUG6C

pith:2015:575AUG6C5F7ZDCLECNKWHLRLQK

not attested not anchored not stored refs pending

Higher-order expansions of powered extremes of normal samples

Chengxiu Ling, Wei Zhou

arxiv:1512.08879 v2 · 2015-12-30 · 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{575AUG6C5F7ZDCLECNKWHLRLQK}

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	2026-05-18T01:23:28.482718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

effa0a1bc2e97f918964135563ae2b82b28e2e5abb4b5b6961e99fb58c488e63

Aliases

arxiv: 1512.08879 · arxiv_version: 1512.08879v2 · doi: 10.48550/arxiv.1512.08879 · pith_short_12: 575AUG6C5F7Z · pith_short_16: 575AUG6C5F7ZDCLE · pith_short_8: 575AUG6C

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/575AUG6C5F7ZDCLECNKWHLRLQK \
  | 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: effa0a1bc2e97f918964135563ae2b82b28e2e5abb4b5b6961e99fb58c488e63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "558367aa9b0bb7d7c3a00bfca7162fd31618d722f32c6c3e8d16b29531122e55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-30T08:44:11Z",
    "title_canon_sha256": "b2fa09632a3a7f8fc3035963a5a9b90bc2b68971422aebcf80b536f3846b8edd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08879",
    "kind": "arxiv",
    "version": 2
  }
}