Pith Number

pith:3V2RGOJ6

pith:2019:3V2RGOJ6UOCMZMY6HJI4NSBBMG

not attested not anchored not stored refs pending

Computational Concentration of Measure: Optimal Bounds, Reductions, and More

Mohammad Mahmoody, Omid Etesami, Saeed Mahloujifar

arxiv:1907.05401 v1 · 2019-07-11 · cs.DS · cs.CC · cs.CG · cs.CR · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3V2RGOJ6UOCMZMY6HJI4NSBBMG}

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	2026-05-17T23:40:50.388299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd7513393ea384ccb31e3a51c6c821618116e2a26e75e2e4df9c77c029c42ea6

Aliases

arxiv: 1907.05401 · arxiv_version: 1907.05401v1 · doi: 10.48550/arxiv.1907.05401 · pith_short_12: 3V2RGOJ6UOCM · pith_short_16: 3V2RGOJ6UOCMZMY6 · pith_short_8: 3V2RGOJ6

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/3V2RGOJ6UOCMZMY6HJI4NSBBMG \
  | 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: dd7513393ea384ccb31e3a51c6c821618116e2a26e75e2e4df9c77c029c42ea6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a886b5acc12a4e7584ae9d0f224317a343395aadc62b40dc1b05f75009be18e",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.CG",
      "cs.CR",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-07-11T17:33:03Z",
    "title_canon_sha256": "07cb1e532490b19a62a8d00bb6f78af9042fcba28351b91e8314af8fc7f160de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05401",
    "kind": "arxiv",
    "version": 1
  }
}