Pith Number

pith:U3GZ27I7

pith:2015:U3GZ27I7PZWFJGWGFNX3JIILTS

not attested not anchored not stored refs pending

Threshold and hitting time for high-order connectivity in random hypergraphs

Christoph Koch, Mihyun Kang, Oliver Cooley

arxiv:1502.07289 v1 · 2015-02-25 · 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{U3GZ27I7PZWFJGWGFNX3JIILTS}

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	2026-05-18T02:26:11.388577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6cd9d7d1f7e6c549ac62b6fb4a10b9c94120020d058de2823d52c516c0c6909

Aliases

arxiv: 1502.07289 · arxiv_version: 1502.07289v1 · doi: 10.48550/arxiv.1502.07289 · pith_short_12: U3GZ27I7PZWF · pith_short_16: U3GZ27I7PZWFJGWG · pith_short_8: U3GZ27I7

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/U3GZ27I7PZWFJGWGFNX3JIILTS \
  | 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: a6cd9d7d1f7e6c549ac62b6fb4a10b9c94120020d058de2823d52c516c0c6909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a7602a185d0da399220573798a86a4fedc06f159e79152ae539e5151614c7bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-25T18:31:15Z",
    "title_canon_sha256": "cc1f1d2f5739864606e2e45ce3e5fd3954b1693ecdad67ac547e4b725f8b40f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07289",
    "kind": "arxiv",
    "version": 1
  }
}