Pith Number

pith:BLKDF7TT

pith:2014:BLKDF7TTGG4HHEVDV74LTPUVY2

not attested not anchored not stored refs pending

Upper Bounds and Duality Relations of the Linear Deterministic Sum Capacity for Cellular Systems

Gerhard Wunder, Rick Fritschek

arxiv:1408.5057 v1 · 2014-08-21 · 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{BLKDF7TTGG4HHEVDV74LTPUVY2}

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	2026-05-18T00:58:41.091347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ad432fe7331b87392a3aff8b9be95c6b8a420de8d420fc713bf828f3a3f1788

Aliases

arxiv: 1408.5057 · arxiv_version: 1408.5057v1 · doi: 10.48550/arxiv.1408.5057 · pith_short_12: BLKDF7TTGG4H · pith_short_16: BLKDF7TTGG4HHEVD · pith_short_8: BLKDF7TT

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/BLKDF7TTGG4HHEVDV74LTPUVY2 \
  | 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: 0ad432fe7331b87392a3aff8b9be95c6b8a420de8d420fc713bf828f3a3f1788

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cb50d1ac64a06e1cca57a28fa97e751ecd2818df14091a3bdd7ce4ebd019c31",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-08-21T16:35:52Z",
    "title_canon_sha256": "ba550ed96192113aa0f2b23dabe27bd95abfe87b0ca1ccf5810bcdcd0bc3c20d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5057",
    "kind": "arxiv",
    "version": 1
  }
}