Pith Number

pith:5TQK5JI6

pith:2016:5TQK5JI6MC3BWGJMTOD7B4ROIE

not attested not anchored not stored refs pending

The Minrank of Random Graphs

Alexander Golovnev, Oded Regev, Omri Weinstein

arxiv:1607.04842 v2 · 2016-07-17 · cs.CC · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TQK5JI6MC3BWGJMTOD7B4ROIE}

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	2026-05-18T00:50:37.863742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ece0aea51e60b61b192c9b87f0f22e41114a5919dc10a914f3e606905f38a3c3

Aliases

arxiv: 1607.04842 · arxiv_version: 1607.04842v2 · doi: 10.48550/arxiv.1607.04842 · pith_short_12: 5TQK5JI6MC3B · pith_short_16: 5TQK5JI6MC3BWGJM · pith_short_8: 5TQK5JI6

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/5TQK5JI6MC3BWGJMTOD7B4ROIE \
  | 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: ece0aea51e60b61b192c9b87f0f22e41114a5919dc10a914f3e606905f38a3c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1aed3395abe8c704ae9e5ccbd938380a874c0f0adc6a7d4d3cb1d834e10db46",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-07-17T09:25:49Z",
    "title_canon_sha256": "d315fe21a49edffcc9e3eb547bb80552acac381806bbe17d5d98e0b48cee7b5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04842",
    "kind": "arxiv",
    "version": 2
  }
}