Pith Number

pith:3WDFN6WJ

pith:2017:3WDFN6WJNXDPTCZ7JPJ3PLZWC5

not attested not anchored not stored refs pending

A Variation of the Erd\H{o}s-S\'os Conjecture in Bipartite Graphs

Long-tu Yuan, Xiao-Dong Zhang

arxiv:1702.03060 v1 · 2017-02-10 · 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{3WDFN6WJNXDPTCZ7JPJ3PLZWC5}

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	2026-05-18T00:50:58.737383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd8656fac96dc6f98b3f4bd3b7af36177ddd67874181ced520236909a36afb8c

Aliases

arxiv: 1702.03060 · arxiv_version: 1702.03060v1 · doi: 10.48550/arxiv.1702.03060 · pith_short_12: 3WDFN6WJNXDP · pith_short_16: 3WDFN6WJNXDPTCZ7 · pith_short_8: 3WDFN6WJ

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/3WDFN6WJNXDPTCZ7JPJ3PLZWC5 \
  | 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: dd8656fac96dc6f98b3f4bd3b7af36177ddd67874181ced520236909a36afb8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22139a89369b22d0b65752045d7f50cd62bd86e93d09bbb0ceacfa6dd37baf8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-10T03:53:20Z",
    "title_canon_sha256": "1be98f00c5d5b7aa40a33bd4b3fab8f3e610cd9f3912922d1e93dc5b95ca0829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03060",
    "kind": "arxiv",
    "version": 1
  }
}