Pith Number

pith:56FXK6KD

pith:2017:56FXK6KDWU3MANGYYTUW4WHJLR

not attested not anchored not stored refs pending

Lacunary arithmetic statistical convergence

Bipan Hazarika, Taja Yaying

arxiv:1703.03780 v1 · 2017-03-08 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56FXK6KDWU3MANGYYTUW4WHJLR}

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	2026-05-18T00:48:55.767585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef8b757943b536c034d8c4e96e58e95c5a0d972a2a3bf7c909a93fb0e7589641

Aliases

arxiv: 1703.03780 · arxiv_version: 1703.03780v1 · doi: 10.48550/arxiv.1703.03780 · pith_short_12: 56FXK6KDWU3M · pith_short_16: 56FXK6KDWU3MANGY · pith_short_8: 56FXK6KD

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/56FXK6KDWU3MANGYYTUW4WHJLR \
  | 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: ef8b757943b536c034d8c4e96e58e95c5a0d972a2a3bf7c909a93fb0e7589641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c081c703d1646505e3abe7dff2c84137bd5e260d54148c93e176e462c3feef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2017-03-08T19:43:10Z",
    "title_canon_sha256": "405d56965a952a173e26a43e017c8f082c61b50dc310864c24bb464e1866b1fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03780",
    "kind": "arxiv",
    "version": 1
  }
}