Pith Number

pith:J5RIO57K

pith:2007:J5RIO57K7NBG3IC2S7MUABAVNG

not attested not anchored not stored refs pending

On Distributed Averaging Algorithms and Quantization Effects

Alex Olshevsky, Angelia Nedi\'c, Asuman Ozdaglar, John Tsitsiklis

arxiv:0711.4179 v2 · 2007-11-27 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5RIO57K7NBG3IC2S7MUABAVNG}

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	2026-07-04T15:36:01.746356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f628777eafb426da05a97d9400415698cf90d0a49815c22ab7ead6a178431f8

Aliases

arxiv: 0711.4179 · arxiv_version: 0711.4179v2 · doi: 10.48550/arxiv.0711.4179 · pith_short_12: J5RIO57K7NBG · pith_short_16: J5RIO57K7NBG3IC2 · pith_short_8: J5RIO57K

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/J5RIO57K7NBG3IC2S7MUABAVNG \
  | 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: 4f628777eafb426da05a97d9400415698cf90d0a49815c22ab7ead6a178431f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57cb99ea7ab45338f482a4bf5d8ad7d1433455937cf2c495fc93933a1aae03a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2007-11-27T04:55:51Z",
    "title_canon_sha256": "eca0e23df5b987a37d57acd825ba112dc5b25add36f45b2138dee44418b12b00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4179",
    "kind": "arxiv",
    "version": 2
  }
}