Pith Number

pith:LRCMTIXP

pith:2025:LRCMTIXPJ5DBQS2SUNILP5LD4M

not attested not anchored not stored refs pending

How Prime Factors Form Fractals

Micah D. Tillman

arxiv:2502.15743 v1 · 2025-02-08 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRCMTIXPJ5DBQS2SUNILP5LD4M}

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	2026-07-05T10:18:15.850940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c44c9a2ef4f46184b52a350b7f563e318eec52fb819bea619f8661d24f98e20

Aliases

arxiv: 2502.15743 · arxiv_version: 2502.15743v1 · doi: 10.48550/arxiv.2502.15743 · pith_short_12: LRCMTIXPJ5DB · pith_short_16: LRCMTIXPJ5DBQS2S · pith_short_8: LRCMTIXP

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/LRCMTIXPJ5DBQS2SUNILP5LD4M \
  | 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: 5c44c9a2ef4f46184b52a350b7f563e318eec52fb819bea619f8661d24f98e20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "327461e839b6fa8ce65ef1c6b823b3736180f47bc778c4310f1d51213c31414b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-02-08T02:03:57Z",
    "title_canon_sha256": "f2af9db6d92e5527208212d584969e813ab4be92e1268b5ae52d0a165ea5f5f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.15743",
    "kind": "arxiv",
    "version": 1
  }
}