Pith Number

pith:F5SWXPK2

pith:2012:F5SWXPK25QPD6LWNBVOY5F6NWC

not attested not anchored not stored refs pending

Exponential error bounds on parameter modulation-estimation for discrete memoryless channels

Neri Merhav

arxiv:1212.4649 v1 · 2012-12-19 · 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{F5SWXPK25QPD6LWNBVOY5F6NWC}

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	2026-05-18T00:58:42.698956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f656bbd5aec1e3f2ecd0d5d8e97cdb0bba1f545f0d2d21c67ab4a8cf23ac52e

Aliases

arxiv: 1212.4649 · arxiv_version: 1212.4649v1 · doi: 10.48550/arxiv.1212.4649 · pith_short_12: F5SWXPK25QPD · pith_short_16: F5SWXPK25QPD6LWN · pith_short_8: F5SWXPK2

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/F5SWXPK25QPD6LWNBVOY5F6NWC \
  | 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: 2f656bbd5aec1e3f2ecd0d5d8e97cdb0bba1f545f0d2d21c67ab4a8cf23ac52e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16dbce88f96ce71b0977922c199a93db85652cc56d4b84e271cecfef2874dd27",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-19T13:09:48Z",
    "title_canon_sha256": "56f75d0a8c47ec2dab63290c536852629d01c2ee4912a92cd20445405a47ba98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4649",
    "kind": "arxiv",
    "version": 1
  }
}