Pith Number

pith:2OKE7YPX

pith:2015:2OKE7YPXWZVCD5TSMA6XPNHZN5

not attested not anchored not stored refs pending

Extremal Cuts of Sparse Random Graphs

Amir Dembo, Andrea Montanari, Subhabrata Sen

arxiv:1503.03923 v2 · 2015-03-13 · math.PR · cs.DM · 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{2OKE7YPXWZVCD5TSMA6XPNHZN5}

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	2026-05-18T00:47:29.674673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3944fe1f7b66a21f672603d77b4f96f7c48480ab9aeb091818f00e999fe1125

Aliases

arxiv: 1503.03923 · arxiv_version: 1503.03923v2 · doi: 10.48550/arxiv.1503.03923 · pith_short_12: 2OKE7YPXWZVC · pith_short_16: 2OKE7YPXWZVCD5TS · pith_short_8: 2OKE7YPX

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/2OKE7YPXWZVCD5TSMA6XPNHZN5 \
  | 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: d3944fe1f7b66a21f672603d77b4f96f7c48480ab9aeb091818f00e999fe1125

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cb8ecf6bd9283bddb048a802b3ae14ca7bf87f4ea2b09af684dccdf4d60195d",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-13T01:22:57Z",
    "title_canon_sha256": "fb327051080c54eebaa70c51b9f47c251529ea353472086ee283083357ca0603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03923",
    "kind": "arxiv",
    "version": 2
  }
}