Pith Number

pith:BTBQDDNT

pith:2025:BTBQDDNTKMDKUNKTI5N5GX4PGL

not attested not anchored not stored refs pending

Generalized Chapple--Euler Relation

Mohammad Hassan Murad, Vladimir Dragovi\'c

arxiv:2603.00001 v3 · 2025-12-25 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTBQDDNTKMDKUNKTI5N5GX4PGL}

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	2026-06-23T02:13:21.553665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc3018db35306aa3553475bd35f8f32f0a7126ca36219251378be7b5ef51732

Aliases

arxiv: 2603.00001 · arxiv_version: 2603.00001v3 · doi: 10.48550/arxiv.2603.00001 · pith_short_12: BTBQDDNTKMDK · pith_short_16: BTBQDDNTKMDKUNKT · pith_short_8: BTBQDDNT

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/BTBQDDNTKMDKUNKTI5N5GX4PGL \
  | 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: 0cc3018db35306aa3553475bd35f8f32f0a7126ca36219251378be7b5ef51732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcf121290a6c5b1857450479346712e03ada239a5c1eaaefab55f91a203fe559",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-12-25T13:58:23Z",
    "title_canon_sha256": "20ab7e2a7afbfbdea4433a85dd8360fa7028795b00fcd56f51eace4f3ef081a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.00001",
    "kind": "arxiv",
    "version": 3
  }
}