Pith Number

pith:AGAIHM2A

pith:2018:AGAIHM2AKKKUYMJXMY3UJ6EM3E

not attested not anchored not stored refs pending

Automatic sequences are orthogonal to aperiodic multiplicative functions

Clemens M\"ullner, Mariusz Lema\'nczyk

arxiv:1811.00594 v1 · 2018-11-01 · math.DS · 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{AGAIHM2AKKKUYMJXMY3UJ6EM3E}

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	2026-05-18T00:01:42.767483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

018083b34052954c3137663744f88cd9272ecc4a2387c9c07e76a3b74eeadd49

Aliases

arxiv: 1811.00594 · arxiv_version: 1811.00594v1 · doi: 10.48550/arxiv.1811.00594 · pith_short_12: AGAIHM2AKKKU · pith_short_16: AGAIHM2AKKKUYMJX · pith_short_8: AGAIHM2A

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/AGAIHM2AKKKUYMJXMY3UJ6EM3E \
  | 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: 018083b34052954c3137663744f88cd9272ecc4a2387c9c07e76a3b74eeadd49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d755501f276457d77cc064db12a6fd8257778b08a3935c055ea5eb6330e86ee",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-11-01T19:09:28Z",
    "title_canon_sha256": "19a6966936bfe7d7ed2b629dca6ba5ee51a6016933641af4d5cd042edbcaa200"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00594",
    "kind": "arxiv",
    "version": 1
  }
}