Pith Number

pith:DV7ORHV6

pith:2025:DV7ORHV6BJH2YRFBLWX7AMG7OA

not attested not anchored not stored refs pending

Relative discrepancy of hypergraphs

Diep Luong-Le, Dilong Yang, Tuan Tran

arxiv:2506.23264 v1 · 2025-06-29 · 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{DV7ORHV6BJH2YRFBLWX7AMG7OA}

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	2026-07-05T11:29:18.822708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d7ee89ebe0a4fac44a15daff030df700c7a04629ba823cae175f68d7764f557

Aliases

arxiv: 2506.23264 · arxiv_version: 2506.23264v1 · doi: 10.48550/arxiv.2506.23264 · pith_short_12: DV7ORHV6BJH2 · pith_short_16: DV7ORHV6BJH2YRFB · pith_short_8: DV7ORHV6

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/DV7ORHV6BJH2YRFBLWX7AMG7OA \
  | 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: 1d7ee89ebe0a4fac44a15daff030df700c7a04629ba823cae175f68d7764f557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4f53714d79f397e8bc9100a090471f07da88f8170893d7b1a2d646c4e6c9a69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-29T14:38:04Z",
    "title_canon_sha256": "4a09ad0a971a1316548bb2f5ea7c1f1b0a0683f9cb489b4dea53050dcd3cdc68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23264",
    "kind": "arxiv",
    "version": 1
  }
}