Pith Number

pith:3WXGCYD3

pith:2014:3WXGCYD3X3DJ6SLXG37AIRALXJ

not attested not anchored not stored refs pending

An Entropy Sumset Inequality and Polynomially Fast Convergence to Shannon Capacity Over All Alphabets

Ameya Velingker, Venkatesan Guruswami

arxiv:1411.6993 v1 · 2014-11-25 · 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{3WXGCYD3X3DJ6SLXG37AIRALXJ}

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	2026-05-18T02:32:45.543005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddae61607bbec69f497736fe04440bba6680cc40dce891ccca3d17754271945d

Aliases

arxiv: 1411.6993 · arxiv_version: 1411.6993v1 · doi: 10.48550/arxiv.1411.6993 · pith_short_12: 3WXGCYD3X3DJ · pith_short_16: 3WXGCYD3X3DJ6SLX · pith_short_8: 3WXGCYD3

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/3WXGCYD3X3DJ6SLXG37AIRALXJ \
  | 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: ddae61607bbec69f497736fe04440bba6680cc40dce891ccca3d17754271945d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "287cf3cbf751c63afc4a1def001dfe2ca5cf262fdc68b9187da73fb5360912cf",
    "cross_cats_sorted": [
      "cs.CC",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-11-25T19:55:48Z",
    "title_canon_sha256": "82635fc00c985dba1c41f022b5c824c5b5528606b3e211412cdbbfe00553c36a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6993",
    "kind": "arxiv",
    "version": 1
  }
}