Pith Number

pith:Z3DCU5YC

pith:2024:Z3DCU5YCJ7BLBE4QLWPTJ6T3ZM

not attested not anchored not stored refs pending

A lower bound on forcing numbers based on height functions

Fateh Aliyev, Nikita Gladkov

arxiv:2410.23621 v1 · 2024-10-31 · 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{Z3DCU5YCJ7BLBE4QLWPTJ6T3ZM}

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	2026-07-05T09:29:02.806590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cec62a77024fc2b093905d9f34fa7bcb201dc604b1a4cb4f37ef97288f8a1c78

Aliases

arxiv: 2410.23621 · arxiv_version: 2410.23621v1 · doi: 10.48550/arxiv.2410.23621 · pith_short_12: Z3DCU5YCJ7BL · pith_short_16: Z3DCU5YCJ7BLBE4Q · pith_short_8: Z3DCU5YC

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/Z3DCU5YCJ7BLBE4QLWPTJ6T3ZM \
  | 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: cec62a77024fc2b093905d9f34fa7bcb201dc604b1a4cb4f37ef97288f8a1c78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faabbd3db84169efacad6bf82c7f4c76be5d656ca45a072dd332b309be41136c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-10-31T04:19:37Z",
    "title_canon_sha256": "8c9010fa7980524ac07a705d15bd241ecdbb49757c6c5460a6cdd98ba47fd7c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.23621",
    "kind": "arxiv",
    "version": 1
  }
}