Pith Number

pith:45JGKYOF

pith:2016:45JGKYOFIUOY6JYVH7AI7TMLEY

not attested not anchored not stored refs pending

On the power propagation time of a graph

Chassidy Bozeman

arxiv:1608.01189 v2 · 2016-08-03 · 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{45JGKYOFIUOY6JYVH7AI7TMLEY}

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	2026-05-18T00:19:42.720748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7526561c5451d8f27153fc08fcd8b26332ec58f5dd27bd09e697f43237c9917

Aliases

arxiv: 1608.01189 · arxiv_version: 1608.01189v2 · doi: 10.48550/arxiv.1608.01189 · pith_short_12: 45JGKYOFIUOY · pith_short_16: 45JGKYOFIUOY6JYV · pith_short_8: 45JGKYOF

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/45JGKYOFIUOY6JYVH7AI7TMLEY \
  | 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: e7526561c5451d8f27153fc08fcd8b26332ec58f5dd27bd09e697f43237c9917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "404d9930a4979454798c5fc15e3a3d18daf7551bbb8574235b7618c1549fdbb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-03T13:34:41Z",
    "title_canon_sha256": "4d5e32a2da3554014824dbd858fcddc94cc8b51e0d42a5aa4e92cbbf5b0bab1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01189",
    "kind": "arxiv",
    "version": 2
  }
}