Pith Number

pith:EK77CZNZ

pith:2016:EK77CZNZPEKPAABZHVCVE5JAK4

not attested not anchored not stored refs pending

Tight Network Topology Dependent Bounds on Rounds of Communication

Arkadev Chattopadhyay, Atri Rudra, Michael Langberg, Shi Li

arxiv:1608.03313 v2 · 2016-08-10 · cs.CC · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EK77CZNZPEKPAABZHVCVE5JAK4}

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	2026-05-18T01:00:45.087205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22bff165b97914f000393d45527520572fe82a966a33bd066f52bd721392096e

Aliases

arxiv: 1608.03313 · arxiv_version: 1608.03313v2 · doi: 10.48550/arxiv.1608.03313 · pith_short_12: EK77CZNZPEKP · pith_short_16: EK77CZNZPEKPAABZ · pith_short_8: EK77CZNZ

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/EK77CZNZPEKPAABZHVCVE5JAK4 \
  | 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: 22bff165b97914f000393d45527520572fe82a966a33bd066f52bd721392096e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69d3c661a696b1ea9741971b4c66534f7ab033d0fc024f0f0c7051139cf8d466",
    "cross_cats_sorted": [
      "cs.DC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-08-10T23:57:44Z",
    "title_canon_sha256": "d358856637d500edb21ed7803cef199e89b0722dcc0777e44e747212e0b2883d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03313",
    "kind": "arxiv",
    "version": 2
  }
}