Pith Number

pith:XJFSTDIE

pith:2013:XJFSTDIEIRZMUYUA7T4IEOKDOT

not attested not anchored not stored refs pending

Spectral extremal problems for hypergraphs

Dhruv Mubayi, John Lenz, Peter Keevash

arxiv:1304.0050 v2 · 2013-03-30 · 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{XJFSTDIEIRZMUYUA7T4IEOKDOT}

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	2026-05-18T02:56:59.994679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba4b298d044472ca6280fcf882394374e4b7d5a3dbc307806b151702be693d79

Aliases

arxiv: 1304.0050 · arxiv_version: 1304.0050v2 · doi: 10.48550/arxiv.1304.0050 · pith_short_12: XJFSTDIEIRZM · pith_short_16: XJFSTDIEIRZMUYUA · pith_short_8: XJFSTDIE

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/XJFSTDIEIRZMUYUA7T4IEOKDOT \
  | 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: ba4b298d044472ca6280fcf882394374e4b7d5a3dbc307806b151702be693d79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6da0c3a527410dd290fbb9a0dc14833703f6e5284551381610fd6d8560b5792c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-30T00:25:21Z",
    "title_canon_sha256": "980bbc4beeb5ac73097d51287ca93cb81bb56d87771dd21990ef7880278695ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0050",
    "kind": "arxiv",
    "version": 2
  }
}