Pith Number

pith:VIHMQMJ5

pith:2024:VIHMQMJ5UVLJTYGQ46XXD62SX5

not attested not anchored not stored refs pending

A group-action Szemer\'edi-Trotter theorem and applications to orchard problems in all characteristics

Tingxiang Zou, Yifan Jing

arxiv:2411.13084 v2 · 2024-11-20 · 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{VIHMQMJ5UVLJTYGQ46XXD62SX5}

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	2026-07-05T09:45:16.475172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa0ec8313da55699e0d0e7af71fb52bf732a6fe069908a873a567a4b9752cbed

Aliases

arxiv: 2411.13084 · arxiv_version: 2411.13084v2 · doi: 10.48550/arxiv.2411.13084 · pith_short_12: VIHMQMJ5UVLJ · pith_short_16: VIHMQMJ5UVLJTYGQ · pith_short_8: VIHMQMJ5

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/VIHMQMJ5UVLJTYGQ46XXD62SX5 \
  | 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: aa0ec8313da55699e0d0e7af71fb52bf732a6fe069908a873a567a4b9752cbed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c126e0cd14d9ca26ec0da70058c2ab25acb3309bd30da02b9b86a42fe64b01fc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-20T07:23:02Z",
    "title_canon_sha256": "885dd28899dd52d358ff76f9ef570e33dca53a0042c2f6f5bacd6c8d9b1bf5f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13084",
    "kind": "arxiv",
    "version": 2
  }
}