Pith Number

pith:Q7TFY6XT

pith:2013:Q7TFY6XT6XBMH464IV5V4CCVSZ

not attested not anchored not stored refs pending

Extremality for Gallager's Reliability Function $E_0$

Mine Alsan

arxiv:1312.4468 v1 · 2013-12-16 · 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{Q7TFY6XT6XBMH464IV5V4CCVSZ}

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	2026-05-18T03:04:24.690664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87e65c7af3f5c2c3f3dc457b5e0855967287d4139b73716566d90aef6320cf79

Aliases

arxiv: 1312.4468 · arxiv_version: 1312.4468v1 · doi: 10.48550/arxiv.1312.4468 · pith_short_12: Q7TFY6XT6XBM · pith_short_16: Q7TFY6XT6XBMH464 · pith_short_8: Q7TFY6XT

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/Q7TFY6XT6XBMH464IV5V4CCVSZ \
  | 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: 87e65c7af3f5c2c3f3dc457b5e0855967287d4139b73716566d90aef6320cf79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19e66750887c9f33617d7f67e185a66eb0a3220fc2f7583f4698e2788f419210",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-12-16T19:14:47Z",
    "title_canon_sha256": "5961a34fb09849341ceef6615269206fd15cddad135df5d1c9fa9712ab1281dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4468",
    "kind": "arxiv",
    "version": 1
  }
}