Pith Number

pith:6USKF7B4

pith:2025:6USKF7B4WJYNNN5OQHCLK5WHZQ

not attested not anchored not stored refs pending

Horofunctions of infinite Sierpinski polygon graphs

Daniele D'Angeli, Davide Perego, Emanuele Rodaro, Francesco Matucci

arxiv:2507.23681 v1 · 2025-07-31 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6USKF7B4WJYNNN5OQHCLK5WHZQ}

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	2026-07-05T11:46:29.267955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f524a2fc3cb270d6b7ae81c4b576c7cc2e1e4b226bc9231905b29a1d042021db

Aliases

arxiv: 2507.23681 · arxiv_version: 2507.23681v1 · doi: 10.48550/arxiv.2507.23681 · pith_short_12: 6USKF7B4WJYN · pith_short_16: 6USKF7B4WJYNNN5O · pith_short_8: 6USKF7B4

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/6USKF7B4WJYNNN5OQHCLK5WHZQ \
  | 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: f524a2fc3cb270d6b7ae81c4b576c7cc2e1e4b226bc9231905b29a1d042021db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b66bdbfc531518146c9be1e6b236559a67ec580e50cf51d7a74c0a499d0ceeb7",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-31T15:57:18Z",
    "title_canon_sha256": "57d1835d2621205ac31f5b4e48b4561d43c1d3726675a021d1a9ca50e96de588"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23681",
    "kind": "arxiv",
    "version": 1
  }
}