Pith Number

pith:HQIRJK3V

pith:2013:HQIRJK3V4KOJKZYWSUGQMFC4MT

not attested not anchored not stored refs pending

First critical probability for a problem on random orientations in $G(n,p)$

Svante Janson, Svante Linusson, Sven Erick Alm

arxiv:1304.2016 v1 · 2013-04-07 · math.PR · 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{HQIRJK3V4KOJKZYWSUGQMFC4MT}

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	2026-05-18T03:28:44.382712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c1114ab75e29c956716950d06145c64fbb8acf3fd727dc0ddb8c1276d3250fe

Aliases

arxiv: 1304.2016 · arxiv_version: 1304.2016v1 · doi: 10.48550/arxiv.1304.2016 · pith_short_12: HQIRJK3V4KOJ · pith_short_16: HQIRJK3V4KOJKZYW · pith_short_8: HQIRJK3V

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/HQIRJK3V4KOJKZYWSUGQMFC4MT \
  | 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: 3c1114ab75e29c956716950d06145c64fbb8acf3fd727dc0ddb8c1276d3250fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b5808d829ec87ed2ceb5f4de38fa89822ac7925da329411c5c47897297b2eb6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-07T16:19:27Z",
    "title_canon_sha256": "866b0ac5c8abd2baefecd306b448d71b781c53ba6eff63291384a35b5f817da7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2016",
    "kind": "arxiv",
    "version": 1
  }
}