Pith Number

pith:BSJDF5BW

pith:2016:BSJDF5BWROBZ5RWPCWXPFWVJ7Y

not attested not anchored not stored refs pending

Random subgraphs of properly edge-coloured complete graphs and long rainbow cycles

Alexey Pokrovskiy, Benny Sudakov, Noga Alon

arxiv:1608.07028 v1 · 2016-08-25 · 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{BSJDF5BWROBZ5RWPCWXPFWVJ7Y}

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	2026-05-18T01:07:56.278419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c9232f4368b839ec6cf15aef2daa9fe01988fe5fd241fb18ffa09e6600751eb

Aliases

arxiv: 1608.07028 · arxiv_version: 1608.07028v1 · doi: 10.48550/arxiv.1608.07028 · pith_short_12: BSJDF5BWROBZ · pith_short_16: BSJDF5BWROBZ5RWP · pith_short_8: BSJDF5BW

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/BSJDF5BWROBZ5RWPCWXPFWVJ7Y \
  | 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: 0c9232f4368b839ec6cf15aef2daa9fe01988fe5fd241fb18ffa09e6600751eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfbe242c0dd7e9edf92d47c8db8e1b140dd235010038929a59d445475778f181",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-25T06:39:53Z",
    "title_canon_sha256": "ba6e5286a7f4279e4d84e3e204c705fde0d15c6bab4f15549dfee9ceba0787f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07028",
    "kind": "arxiv",
    "version": 1
  }
}