Pith Number

pith:KH4VS7TI

pith:2011:KH4VS7TISAMA4JZRWZX3EU6CNU

not attested not anchored not stored refs pending

Linear recurrences and asymptotic behavior of exponential sums of symmetric boolean functions

Francis N. Castro, Luis A. Medina

arxiv:1101.4682 v1 · 2011-01-24 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KH4VS7TISAMA4JZRWZX3EU6CNU}

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	2026-05-18T04:30:59.226238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51f9597e6890180e2731b66fb253c26d314c10e38e44e0f451288d756cce8f5a

Aliases

arxiv: 1101.4682 · arxiv_version: 1101.4682v1 · doi: 10.48550/arxiv.1101.4682 · pith_short_12: KH4VS7TISAMA · pith_short_16: KH4VS7TISAMA4JZR · pith_short_8: KH4VS7TI

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/KH4VS7TISAMA4JZRWZX3EU6CNU \
  | 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: 51f9597e6890180e2731b66fb253c26d314c10e38e44e0f451288d756cce8f5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "855113d2174186417442f5b4d8062406c7d3ba8212c88e50eea9e96256a4758f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-24T22:29:52Z",
    "title_canon_sha256": "8f415a74e4099a9a85d9f39de9d994b0f91854359f04f63c90472fd7af239beb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4682",
    "kind": "arxiv",
    "version": 1
  }
}