Pith Number

pith:QH45ONRV

pith:2016:QH45ONRVJG6D6EU66JGXX67ELG

not attested not anchored not stored refs pending

Lacunary Arithmetic convergence

Bipan Hazarika, Taja Yaying

arxiv:1611.07907 v1 · 2016-11-20 · 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{QH45ONRVJG6D6EU66JGXX67ELG}

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	2026-05-18T00:56:59.586395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81f9d7363549bc3f129ef24d7bfbe459b30a6bc5da595bc853b48b7c75d0df40

Aliases

arxiv: 1611.07907 · arxiv_version: 1611.07907v1 · doi: 10.48550/arxiv.1611.07907 · pith_short_12: QH45ONRVJG6D · pith_short_16: QH45ONRVJG6D6EU6 · pith_short_8: QH45ONRV

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/QH45ONRVJG6D6EU66JGXX67ELG \
  | 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: 81f9d7363549bc3f129ef24d7bfbe459b30a6bc5da595bc853b48b7c75d0df40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87322e79af0826cd8c5ea6dfefcfa4aae080ff5e0ddb4ccdf0fc7c5d4e81f25c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-20T18:03:53Z",
    "title_canon_sha256": "e20e94da299e1aac2d82d115e9c3d08f00863c0bad3f7eff79a3d62646adca5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07907",
    "kind": "arxiv",
    "version": 1
  }
}