Pith Number

pith:3EVTCEJP

pith:2024:3EVTCEJP2Z6F3QLQS4GHVJYULW

not attested not anchored not stored refs pending

A Purely Entropic Approach to the Rainbow Triangle Problem

Hung-Hsun Hans Yu, Ting-Wei Chao

arxiv:2407.14084 v1 · 2024-07-19 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3EVTCEJP2Z6F3QLQS4GHVJYULW}

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	2026-07-05T08:45:58.094842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d92b31112fd67c5dc170970c7aa7145dbee7a4f8b242d2442ba1615887dd906d

Aliases

arxiv: 2407.14084 · arxiv_version: 2407.14084v1 · doi: 10.48550/arxiv.2407.14084 · pith_short_12: 3EVTCEJP2Z6F · pith_short_16: 3EVTCEJP2Z6F3QLQ · pith_short_8: 3EVTCEJP

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/3EVTCEJP2Z6F3QLQS4GHVJYULW \
  | 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: d92b31112fd67c5dc170970c7aa7145dbee7a4f8b242d2442ba1615887dd906d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24c5e2830113a5d364d3417a4673eba1754aca2b129d5033bfa11b3ff2ccf2b0",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-19T07:38:57Z",
    "title_canon_sha256": "b608f07c56f304855d870aeb67e12b3456e96f8021131b5ede15729083ccf64a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.14084",
    "kind": "arxiv",
    "version": 1
  }
}