Pith Number

pith:4GN3EUP2

pith:2024:4GN3EUP2T6SPCN6KCD4ZR2CLRL

not attested not anchored not stored refs pending

Distributions of Ulam Words up to Length 30

Alexandra (Sasha) Sheydvasser, Arseniy (Senia) Sheydvasser, Axelle Tougouma, Hopper Clark, Paul Adutwum, Ro Emerson

arxiv:2410.01217 v2 · 2024-10-02 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GN3EUP2T6SPCN6KCD4ZR2CLRL}

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.

Cited by

1 paper in Pith

Small gaps in the Ulam sequence

Receipt and verification

First computed	2026-07-05T11:38:48.750537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e19bb251fa9fa4f137ca10f998e84b8ae515a15f2a0ba559ce1c428efd39e0a8

Aliases

arxiv: 2410.01217 · arxiv_version: 2410.01217v2 · doi: 10.48550/arxiv.2410.01217 · pith_short_12: 4GN3EUP2T6SP · pith_short_16: 4GN3EUP2T6SPCN6K · pith_short_8: 4GN3EUP2

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/4GN3EUP2T6SPCN6KCD4ZR2CLRL \
  | 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: e19bb251fa9fa4f137ca10f998e84b8ae515a15f2a0ba559ce1c428efd39e0a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d048610e1d719d113652a437be6d3592023ae1cb4cfc26b65d1ac6e6ceadf98a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-10-02T03:58:17Z",
    "title_canon_sha256": "73120420cc226e00207dfce54ac5f2bf25d480ece35a597b889cdc8d995d064d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.01217",
    "kind": "arxiv",
    "version": 2
  }
}