Pith Number

pith:TPYNZQFK

pith:2024:TPYNZQFKNE4YGLF3CAY5ZFVHFE

not attested not anchored not stored refs pending

Exact results on traces of sets

Jie Ma, Mingyuan Rong, Mingze Li

arxiv:2406.18870 v1 · 2024-06-27 · 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{TPYNZQFKNE4YGLF3CAY5ZFVHFE}

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.

Cited by

1 paper in Pith

Recent advances in arrow relations and traces of sets

Receipt and verification

First computed	2026-07-05T08:37:26.905159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf0dcc0aa6939832cbb1031dc96a7290aa905f093f4d28d3af1a8db5202ad1a

Aliases

arxiv: 2406.18870 · arxiv_version: 2406.18870v1 · doi: 10.48550/arxiv.2406.18870 · pith_short_12: TPYNZQFKNE4Y · pith_short_16: TPYNZQFKNE4YGLF3 · pith_short_8: TPYNZQFK

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/TPYNZQFKNE4YGLF3CAY5ZFVHFE \
  | 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: 9bf0dcc0aa6939832cbb1031dc96a7290aa905f093f4d28d3af1a8db5202ad1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b546499f3d225a7d57644951a4948ea6c1bad510de53812a3a069fb8395f8b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-06-27T03:51:58Z",
    "title_canon_sha256": "8e5fdc67f86126ae7cf353d6fc01d89e2572a88292107cffe5a3be5848f9dbf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.18870",
    "kind": "arxiv",
    "version": 1
  }
}