Pith Number

pith:3D44FNQI

pith:2015:3D44FNQIBI4ZGU6T3XG3TJ7H65

not attested not anchored not stored refs pending

On the diameter of hyperbolic random graphs

Anton Krohmer, Tobias Friedrich

arxiv:1512.00184 v1 · 2015-12-01 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3D44FNQIBI4ZGU6T3XG3TJ7H65}

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	2026-05-18T01:25:25.913249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8f9c2b6080a399353d3ddcdb9a7e7f753d812cb1f795fbdc9139f941ff11ec8

Aliases

arxiv: 1512.00184 · arxiv_version: 1512.00184v1 · doi: 10.48550/arxiv.1512.00184 · pith_short_12: 3D44FNQIBI4Z · pith_short_16: 3D44FNQIBI4ZGU6T · pith_short_8: 3D44FNQI

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/3D44FNQIBI4ZGU6T3XG3TJ7H65 \
  | 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: d8f9c2b6080a399353d3ddcdb9a7e7f753d812cb1f795fbdc9139f941ff11ec8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2d297881b65fc564611f3c9645b610ac0d2247a63d6d50b3bbb4771a57289d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-12-01T09:17:10Z",
    "title_canon_sha256": "f803a1b9fc8faf7b18bf746de10644be776f433896aeb12230cdd97869ef22d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00184",
    "kind": "arxiv",
    "version": 1
  }
}