Pith Number

pith:VWBZ6AB4

pith:2014:VWBZ6AB4W45RL46THSXEYEBQ5O

not attested not anchored not stored refs pending

On Erd\H{o}s-Ko-Rado for random hypergraphs I

Arran Hamm, Jeff Kahn

arxiv:1412.5085 v1 · 2014-12-16 · 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{VWBZ6AB4W45RL46THSXEYEBQ5O}

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	2026-05-18T02:31:09.679706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad839f003cb73b15f3d33cae4c1030eb80a4851a3ca53bae3d0a4a8fa1aa018d

Aliases

arxiv: 1412.5085 · arxiv_version: 1412.5085v1 · doi: 10.48550/arxiv.1412.5085 · pith_short_12: VWBZ6AB4W45R · pith_short_16: VWBZ6AB4W45RL46T · pith_short_8: VWBZ6AB4

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/VWBZ6AB4W45RL46THSXEYEBQ5O \
  | 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: ad839f003cb73b15f3d33cae4c1030eb80a4851a3ca53bae3d0a4a8fa1aa018d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03148281489315e553a1cc6d29cae50a8c367933f99f069c9de8216285badb8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-16T17:10:17Z",
    "title_canon_sha256": "eb38da4200feb7ea039f4b30030322b4e8c511f0d2be5b1fc1128b03e996d031"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5085",
    "kind": "arxiv",
    "version": 1
  }
}