Pith Number

pith:MBJL3OC7

pith:2026:MBJL3OC7YLQJ2IG5RO5WBOVJRN

not attested not anchored not stored refs pending

On the threshold Ramsey multiplicity conjectures for paths and even cycles

Jiabao Yang, Ting Huang, Yaojun Chen

arxiv:2606.01996 v1 · 2026-06-01 · 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{MBJL3OC7YLQJ2IG5RO5WBOVJRN}

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	2026-06-02T02:05:03.130368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6052bdb85fc2e09d20dd8bbb60baa98b74ad609f52e2508a3ecf27f1473c181a

Aliases

arxiv: 2606.01996 · arxiv_version: 2606.01996v1 · doi: 10.48550/arxiv.2606.01996 · pith_short_12: MBJL3OC7YLQJ · pith_short_16: MBJL3OC7YLQJ2IG5 · pith_short_8: MBJL3OC7

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/MBJL3OC7YLQJ2IG5RO5WBOVJRN \
  | 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: 6052bdb85fc2e09d20dd8bbb60baa98b74ad609f52e2508a3ecf27f1473c181a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f79624c0d3463c68746ebb9badd66805dd5b41cb65d112abc324e40b6c5cb67e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-01T09:51:25Z",
    "title_canon_sha256": "e48ade3b828fe46882e031a8ee39de5ae90d97ea27a85c5fb76034efccd95a8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01996",
    "kind": "arxiv",
    "version": 1
  }
}