Pith Number

pith:C2S2RVUJ

pith:2016:C2S2RVUJJ7LJDKLC4KTPVFZL7Z

not attested not anchored not stored refs pending

Some extremal results on complete degenerate hypergraphs

Jie Ma, Mingwei Zhang, Xiaofan Yuan

arxiv:1612.01363 v2 · 2016-12-05 · 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{C2S2RVUJJ7LJDKLC4KTPVFZL7Z}

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	2026-05-18T00:53:41.919986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16a5a8d6894fd691a962e2a6fa972bfe6c608367020eb7fde9bc125a1daedd55

Aliases

arxiv: 1612.01363 · arxiv_version: 1612.01363v2 · doi: 10.48550/arxiv.1612.01363 · pith_short_12: C2S2RVUJJ7LJ · pith_short_16: C2S2RVUJJ7LJDKLC · pith_short_8: C2S2RVUJ

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/C2S2RVUJJ7LJDKLC4KTPVFZL7Z \
  | 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: 16a5a8d6894fd691a962e2a6fa972bfe6c608367020eb7fde9bc125a1daedd55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee4919ee616aeea0a89c57f7dc4ce32946ead0137957cc98da0d809160af68f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-05T14:17:54Z",
    "title_canon_sha256": "78e42c76025b133ae22e7443257137c3db1cab19d72abff4eab6732fc0d212ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01363",
    "kind": "arxiv",
    "version": 2
  }
}