Pith Number

pith:CDTTTJKI

pith:2026:CDTTTJKIE7LDN3QFMQUBD5XOSV

not attested not anchored not stored refs pending

From weighted paraboloid restriction to $k$-stars and distance graphs

Marcus Pasquariello, Tainara Borges, Yumeng Ou

arxiv:2607.10574 v1 · 2026-07-12 · math.CA · 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{CDTTTJKIE7LDN3QFMQUBD5XOSV}

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	2026-07-14T01:21:22.021131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10e739a54827d636ee05642811f6ee956f25810d8f0fd30587f980176504d532

Aliases

arxiv: 2607.10574 · arxiv_version: 2607.10574v1 · doi: 10.48550/arxiv.2607.10574 · pith_short_12: CDTTTJKIE7LD · pith_short_16: CDTTTJKIE7LDN3QF · pith_short_8: CDTTTJKI

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/CDTTTJKIE7LDN3QFMQUBD5XOSV \
  | 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: 10e739a54827d636ee05642811f6ee956f25810d8f0fd30587f980176504d532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acd8a4b99c3d85fafaf3aff87b5b234031154103bff0e59c7c62a279e87637a0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-12T05:11:24Z",
    "title_canon_sha256": "b3991a6508b1be081a55d3e9dcd3c0eba70cfc4dfda0053c9b744f5fedac1d27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10574",
    "kind": "arxiv",
    "version": 1
  }
}