Pith Number

pith:QQKMR2RE

pith:2011:QQKMR2RER533UK6FOXKVOMVGA2

not attested not anchored not stored refs pending

Information Equals Amortized Communication

Anup Rao, Mark Braverman

arxiv:1106.3595 v1 · 2011-06-17 · cs.IT · cs.CC · 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{QQKMR2RER533UK6FOXKVOMVGA2}

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	2026-05-18T04:19:42.703669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8414c8ea248f77ba2bc575d55732a6068f73cd0f5ac84cc49690ac583dcd9b25

Aliases

arxiv: 1106.3595 · arxiv_version: 1106.3595v1 · doi: 10.48550/arxiv.1106.3595 · pith_short_12: QQKMR2RER533 · pith_short_16: QQKMR2RER533UK6F · pith_short_8: QQKMR2RE

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/QQKMR2RER533UK6FOXKVOMVGA2 \
  | 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: 8414c8ea248f77ba2bc575d55732a6068f73cd0f5ac84cc49690ac583dcd9b25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26283e6d19a80ea9731adde062818caa8f18fc1f9bb1669ff273f7383a7c0ddf",
    "cross_cats_sorted": [
      "cs.CC",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-06-17T23:49:11Z",
    "title_canon_sha256": "64e74465cfcf8ba80c6341fb78b750b313d2feda680c5b9fd5848960ebb5ed51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3595",
    "kind": "arxiv",
    "version": 1
  }
}