Pith Number

pith:7G4EO4PL

pith:2013:7G4EO4PLK5AF5ELI6EOH5FIUA6

not attested not anchored not stored refs pending

Space-Time Polar Coded Modulation

Jiaru Lin, Kai Chen, Kai Niu

arxiv:1312.1799 v2 · 2013-12-06 · 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{7G4EO4PLK5AF5ELI6EOH5FIUA6}

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	2026-05-18T02:51:41.912014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9b84771eb57405e9168f11c7e9514079e89c583016fd82b8d2d67d331e275fd

Aliases

arxiv: 1312.1799 · arxiv_version: 1312.1799v2 · doi: 10.48550/arxiv.1312.1799 · pith_short_12: 7G4EO4PLK5AF · pith_short_16: 7G4EO4PLK5AF5ELI · pith_short_8: 7G4EO4PL

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/7G4EO4PLK5AF5ELI6EOH5FIUA6 \
  | 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: f9b84771eb57405e9168f11c7e9514079e89c583016fd82b8d2d67d331e275fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40bc5d34f42c580072748ee4a4b2833e65b40c69381ecd6905f58e0a97f9c923",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-12-06T08:32:31Z",
    "title_canon_sha256": "7533baab9693631d1859c432fb37b87184b086be204f5b365e7cb97e63f5af45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1799",
    "kind": "arxiv",
    "version": 2
  }
}