Pith Number

pith:CPK3JIPL

pith:2018:CPK3JIPLK4YWHAAD5PZHIN7DQM

not attested not anchored not stored refs pending

On resilience of connectivity in the evolution of random graphs

Luc Haller, Milo\v{s} Truji\'c

arxiv:1805.08744 v2 · 2018-05-22 · 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{CPK3JIPLK4YWHAAD5PZHIN7DQM}

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	2026-05-17T23:47:36.233511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13d5b4a1eb5731638003ebf27437e38321af9a05bf5c0dd2c7199ed7900a0515

Aliases

arxiv: 1805.08744 · arxiv_version: 1805.08744v2 · doi: 10.48550/arxiv.1805.08744 · pith_short_12: CPK3JIPLK4YW · pith_short_16: CPK3JIPLK4YWHAAD · pith_short_8: CPK3JIPL

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/CPK3JIPLK4YWHAAD5PZHIN7DQM \
  | 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: 13d5b4a1eb5731638003ebf27437e38321af9a05bf5c0dd2c7199ed7900a0515

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f53517a0f06d9b9e4a27a9ef2fc9b40eb5090d08de7d5f8a57a3a40bbcc84cd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-22T17:08:36Z",
    "title_canon_sha256": "5e96abd6c9d41f371363abcf6f0ed9deeda849034d6193dc57e2cad2e4e38a5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08744",
    "kind": "arxiv",
    "version": 2
  }
}