Pith Number

pith:5EJU3AN4

pith:2015:5EJU3AN4N5BRS6CDDY6QJUVYFG

not attested not anchored not stored refs pending

On generalized Thue-Morse functions and their values

Dzmitry Badziahin, Evgeny Zorin

arxiv:1509.00297 v1 · 2015-09-01 · 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{5EJU3AN4N5BRS6CDDY6QJUVYFG}

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	2026-05-18T01:34:14.510030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9134d81bc6f431978431e3d04d2b829a1aa3a11830df4b9f1af1e00440a280b

Aliases

arxiv: 1509.00297 · arxiv_version: 1509.00297v1 · doi: 10.48550/arxiv.1509.00297 · pith_short_12: 5EJU3AN4N5BR · pith_short_16: 5EJU3AN4N5BRS6CD · pith_short_8: 5EJU3AN4

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/5EJU3AN4N5BRS6CDDY6QJUVYFG \
  | 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: e9134d81bc6f431978431e3d04d2b829a1aa3a11830df4b9f1af1e00440a280b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9eefebb4ede42c85b393d9cf6ebb9f327f363e7f64567677cc8389a78ba7da2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-01T13:50:08Z",
    "title_canon_sha256": "a10cdf9c29b4805769ddceddebededc1ece5d776aab454c3bfeca206578a6ea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00297",
    "kind": "arxiv",
    "version": 1
  }
}