Pith Number

pith:6TS4V5ZL

pith:2025:6TS4V5ZLDP5IE3JYAE3FBHP4TC

not attested not anchored not stored refs pending

Monotone Bounded Depth Formula Complexity of Graph Homomorphism Polynomials

Balagopal Komarath, Rohit Narayanan

arxiv:2511.03388 v2 · 2025-11-05 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TS4V5ZLDP5IE3JYAE3FBHP4TC}

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	2026-06-23T03:13:50.942443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4e5caf72b1bfa826d380136509dfc988fbeeb8fd936083a016bfb034eed0b6b

Aliases

arxiv: 2511.03388 · arxiv_version: 2511.03388v2 · doi: 10.48550/arxiv.2511.03388 · pith_short_12: 6TS4V5ZLDP5I · pith_short_16: 6TS4V5ZLDP5IE3JY · pith_short_8: 6TS4V5ZL

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/6TS4V5ZLDP5IE3JYAE3FBHP4TC \
  | 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: f4e5caf72b1bfa826d380136509dfc988fbeeb8fd936083a016bfb034eed0b6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6503d884985e44e40cbbdb730fbdb7f3ed2687aac0b2185813cfb0e8bc8ce63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-11-05T11:48:09Z",
    "title_canon_sha256": "c3e0f24e21afb1eb3ae84118674cbb0a03af67c3c8480656aa62d295d46afbe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.03388",
    "kind": "arxiv",
    "version": 2
  }
}