Pith Number

pith:PLH5S7YA

pith:2013:PLH5S7YAJQVRBWJOCAVYNPLOPS

not attested not anchored not stored refs pending

Augmenting graphs to minimize the diameter

Fabrizio Frati, Joachim Gudmundsson, Luke Mathieson, Serge Gaspers

arxiv:1309.5172 v1 · 2013-09-20 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLH5S7YAJQVRBWJOCAVYNPLOPS}

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	2026-05-18T03:12:47.389619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7acfd97f004c2b10d92e102b86bd6e7c815b2f41c232345e81d4ae67df85e429

Aliases

arxiv: 1309.5172 · arxiv_version: 1309.5172v1 · doi: 10.48550/arxiv.1309.5172 · pith_short_12: PLH5S7YAJQVR · pith_short_16: PLH5S7YAJQVRBWJO · pith_short_8: PLH5S7YA

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/PLH5S7YAJQVRBWJOCAVYNPLOPS \
  | 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: 7acfd97f004c2b10d92e102b86bd6e7c815b2f41c232345e81d4ae67df85e429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09654ba5f12c15f2c563cbf7e9374f338d3e07c8764ac9d5490745292edb1b69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-09-20T04:57:52Z",
    "title_canon_sha256": "3fa9ed7a9c2531744e7c8e3e35dbd3781c73ebeda46d5071a1da68bd2c282f9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5172",
    "kind": "arxiv",
    "version": 1
  }
}