Pith Number

pith:CIDHB2PD

pith:2017:CIDHB2PDZVQNSKLIJT6MM7QN7W

not attested not anchored not stored refs pending

On subwords in the base-$q$ expansion of polynomial and exponential functions

Hajime Kaneko, Thomas Stoll

arxiv:1707.01440 v1 · 2017-07-05 · 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{CIDHB2PDZVQNSKLIJT6MM7QN7W}

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	2026-05-18T00:40:52.292051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

120670e9e3cd60d929684cfcc67e0dfdb0cc71c69e775ef0f7a07d82fa9870d4

Aliases

arxiv: 1707.01440 · arxiv_version: 1707.01440v1 · doi: 10.48550/arxiv.1707.01440 · pith_short_12: CIDHB2PDZVQN · pith_short_16: CIDHB2PDZVQNSKLI · pith_short_8: CIDHB2PD

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/CIDHB2PDZVQNSKLIJT6MM7QN7W \
  | 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: 120670e9e3cd60d929684cfcc67e0dfdb0cc71c69e775ef0f7a07d82fa9870d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f840a5b6f12be3cca3c1d0be41f6e480d5b7aae819499247baf066fe2be72ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-05T15:35:43Z",
    "title_canon_sha256": "42b4f8615d3ffdc4005b8c8759ad0c7cdbc8ee18684f8480264f011e4d554cfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01440",
    "kind": "arxiv",
    "version": 1
  }
}