Pith Number

pith:V52RYXS2

pith:2014:V52RYXS2YFRNNEXGJOX7XVUE57

not attested not anchored not stored refs pending

A sharp refinement of a result of Alon, Ben-Shimon and Krivelevich on bipartite graph vertex sequences

Grant Cairns, Stacey Mendan, Yuri Nikolayevsky

arxiv:1403.6307 v1 · 2014-03-25 · 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{V52RYXS2YFRNNEXGJOX7XVUE57}

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	2026-05-18T02:55:37.252906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af751c5e5ac162d692e64baffbd684efe60519a199ea7ef1f16a4417c3554c55

Aliases

arxiv: 1403.6307 · arxiv_version: 1403.6307v1 · doi: 10.48550/arxiv.1403.6307 · pith_short_12: V52RYXS2YFRN · pith_short_16: V52RYXS2YFRNNEXG · pith_short_8: V52RYXS2

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/V52RYXS2YFRNNEXGJOX7XVUE57 \
  | 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: af751c5e5ac162d692e64baffbd684efe60519a199ea7ef1f16a4417c3554c55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c71954dd37e6dec6fe949025f17fb8fddaed487b88d840c7b03d3567c27a494",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-25T11:25:23Z",
    "title_canon_sha256": "d31ea2138cbce4fc4ea8ed6b5ecf161e3d1feb58ac282636ccffd36c66204a0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6307",
    "kind": "arxiv",
    "version": 1
  }
}