Pith Number

pith:3IZFVOFY

pith:2013:3IZFVOFYCIF22P3ULLDMOT5Z3X

not attested not anchored not stored refs pending

The Multiple-orientability Thresholds for Random Hypergraphs

Konstantinos Panagiotou, Megha Khosla, Nikolaos Fountoulakis

arxiv:1309.6772 v1 · 2013-09-26 · cs.DM · 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{3IZFVOFYCIF22P3ULLDMOT5Z3X}

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	2026-05-17T23:53:15.077811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da325ab8b8120bad3f745ac6c74fb9ddf909faac738c29ed683fd5eb45766c7e

Aliases

arxiv: 1309.6772 · arxiv_version: 1309.6772v1 · doi: 10.48550/arxiv.1309.6772 · pith_short_12: 3IZFVOFYCIF2 · pith_short_16: 3IZFVOFYCIF22P3U · pith_short_8: 3IZFVOFY

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/3IZFVOFYCIF22P3ULLDMOT5Z3X \
  | 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: da325ab8b8120bad3f745ac6c74fb9ddf909faac738c29ed683fd5eb45766c7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b91425d1e31ef9b358800930b6a3f84c8bbf447e4120a2a9190515dc1a8c3a7c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-09-26T09:36:19Z",
    "title_canon_sha256": "260fb23d84c0a8fdf51dd8adedd63edb61d0f92e271b37fc92962f0a17bd655a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6772",
    "kind": "arxiv",
    "version": 1
  }
}