Pith Number

pith:YTABGUIP

pith:2023:YTABGUIP5UVFJJS7NJQZN2UARN

not attested not anchored not stored refs pending

Proving Properties of $\varphi$-Representations with the Walnut Theorem-Prover

Jeffrey Shallit

arxiv:2305.02672 v6 · 2023-05-04 · math.NT · cs.DM · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTABGUIP5UVFJJS7NJQZN2UARN}

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	2026-05-20T14:03:16.552894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4c013510fed2a54a65f6a6196ea808b77b0d91d441a9fb8b6874724785e6a52

Aliases

arxiv: 2305.02672 · arxiv_version: 2305.02672v6 · doi: 10.48550/arxiv.2305.02672 · pith_short_12: YTABGUIP5UVF · pith_short_16: YTABGUIP5UVFJJS7 · pith_short_8: YTABGUIP

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/YTABGUIP5UVFJJS7NJQZN2UARN \
  | 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: c4c013510fed2a54a65f6a6196ea808b77b0d91d441a9fb8b6874724785e6a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2968f82109206f06be3a1a644a0c5c9354acff22303c15ae3daa0be27051fc32",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.FL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-05-04T09:28:05Z",
    "title_canon_sha256": "27f9f2ff677920b6b3aedfc0c0f1d95df265d0bac7a28b200cd2dfbd6d7bd49e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.02672",
    "kind": "arxiv",
    "version": 6
  }
}