Pith Number

pith:LYPGSGDA

pith:2024:LYPGSGDAQLQQ5KNEWHR5PPH3B7

not attested not anchored not stored refs pending

Letter frequency vs factor frequency in pure morphic words

Shuo Li

arxiv:2405.18696 v1 · 2024-05-29 · 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{LYPGSGDAQLQQ5KNEWHR5PPH3B7}

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

LongMagpie: A Self-synthesis Method for Generating Large-scale Long-context Instructions

Receipt and verification

First computed	2026-07-05T08:24:29.026119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e1e69186082e10ea9a4b1e3d7bcfb0feb4cb816aa1f058ed0f76f579535913d

Aliases

arxiv: 2405.18696 · arxiv_version: 2405.18696v1 · doi: 10.48550/arxiv.2405.18696 · pith_short_12: LYPGSGDAQLQQ · pith_short_16: LYPGSGDAQLQQ5KNE · pith_short_8: LYPGSGDA

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/LYPGSGDAQLQQ5KNEWHR5PPH3B7 \
  | 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: 5e1e69186082e10ea9a4b1e3d7bcfb0feb4cb816aa1f058ed0f76f579535913d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70472e8b09ff788dab16008ff2508dac269644013bf5421e47b73e326606564d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-05-29T02:14:05Z",
    "title_canon_sha256": "c1b117f5771212e1205b0e916516735ff2024cd5bffd83919c4b2fc90499df80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.18696",
    "kind": "arxiv",
    "version": 1
  }
}