Pith Number

pith:CMH4NJVX

pith:2025:CMH4NJVXSF46NHC7GPG5I4POIT

not attested not anchored not stored refs pending

Connected forcing density and related problems

Boris Brimkov, Houston Schuerger, Randy Davila

arxiv:2507.11194 v1 · 2025-07-15 · 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{CMH4NJVXSF46NHC7GPG5I4POIT}

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	2026-07-05T11:37:34.090743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

130fc6a6b79179e69c5f33cdd471ee44cdbdd1b94077a768d01969680e043e07

Aliases

arxiv: 2507.11194 · arxiv_version: 2507.11194v1 · doi: 10.48550/arxiv.2507.11194 · pith_short_12: CMH4NJVXSF46 · pith_short_16: CMH4NJVXSF46NHC7 · pith_short_8: CMH4NJVX

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/CMH4NJVXSF46NHC7GPG5I4POIT \
  | 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: 130fc6a6b79179e69c5f33cdd471ee44cdbdd1b94077a768d01969680e043e07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17c157810cbede749d245875bc63e1452c07f177dea0c281abb2e8051177c03c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-15T10:59:18Z",
    "title_canon_sha256": "77d71c835f41f079ddda892f1228411795b87ac863e08bd1f6d6cb2483236850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11194",
    "kind": "arxiv",
    "version": 1
  }
}