Pith Number

pith:EVIY6BK6

pith:2016:EVIY6BK62UEWH7PHT5VWY5F3HR

not attested not anchored not stored refs pending

Homological connectivity of random hypergraphs

Mihyun Kang, Oliver Cooley, Penny Haxell, Philipp Spr\"ussel

arxiv:1604.00842 v1 · 2016-04-04 · 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{EVIY6BK62UEWH7PHT5VWY5F3HR}

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	2026-05-18T01:17:48.054971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25518f055ed50963fde79f6b6c74bb3c456263dc285f0676ed46d42004b6812e

Aliases

arxiv: 1604.00842 · arxiv_version: 1604.00842v1 · doi: 10.48550/arxiv.1604.00842 · pith_short_12: EVIY6BK62UEW · pith_short_16: EVIY6BK62UEWH7PH · pith_short_8: EVIY6BK6

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/EVIY6BK62UEWH7PHT5VWY5F3HR \
  | 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: 25518f055ed50963fde79f6b6c74bb3c456263dc285f0676ed46d42004b6812e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c50ac09a3bd097dd51974133333a33b1f887dbefd2c327253f3bb339e32bde27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-04T13:01:23Z",
    "title_canon_sha256": "08e221caf68ff712f5a18f099f92bbf54959617c1fba7772b5c963e053959ff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00842",
    "kind": "arxiv",
    "version": 1
  }
}