Pith Number

pith:HT6ODRJ4

pith:2018:HT6ODRJ46YYR263QDHBTTGCWUA

not attested not anchored not stored refs pending

Random weighted shifts

Guozheng Cheng, Sen Zhu, Xiang Fang

arxiv:1811.05761 v1 · 2018-11-14 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HT6ODRJ46YYR263QDHBTTGCWUA}

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	2026-05-18T00:00:42.142484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cfce1c53cf6311d7b7019c3399856a03661d26267851e84dedab395fd21f910

Aliases

arxiv: 1811.05761 · arxiv_version: 1811.05761v1 · doi: 10.48550/arxiv.1811.05761 · pith_short_12: HT6ODRJ46YYR · pith_short_16: HT6ODRJ46YYR263Q · pith_short_8: HT6ODRJ4

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/HT6ODRJ46YYR263QDHBTTGCWUA \
  | 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: 3cfce1c53cf6311d7b7019c3399856a03661d26267851e84dedab395fd21f910

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5ff82d990c51b6e16d3b7cd97a65d8d9e27fb7324cd3be7d990193a88110d8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-14T13:16:55Z",
    "title_canon_sha256": "87fc33dc32335341f566f6c7aad9c498d0f20a8da69319cd2de848eed8068cab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05761",
    "kind": "arxiv",
    "version": 1
  }
}