Pith Number

pith:GF7ZLTXJ

pith:2026:GF7ZLTXJSL6PKEWLQCXW7TWH53

not attested not anchored not stored refs pending

On the Nonasymptotic Bounds of Joint Source-Channel Coding with Hierarchical Sources

Chao Qi, Hongkai Xiong, Jincheng Dai, Shuo Shao, Wenrui Dai

arxiv:2603.15249 v2 · 2026-03-16 · 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{GF7ZLTXJSL6PKEWLQCXW7TWH53}

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	2026-06-09T01:05:16.103801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

317f95cee992fcf512cb80af6fcec7eec9c00831c964089c96c9b6107e0f3634

Aliases

arxiv: 2603.15249 · arxiv_version: 2603.15249v2 · doi: 10.48550/arxiv.2603.15249 · pith_short_12: GF7ZLTXJSL6P · pith_short_16: GF7ZLTXJSL6PKEWL · pith_short_8: GF7ZLTXJ

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/GF7ZLTXJSL6PKEWLQCXW7TWH53 \
  | 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: 317f95cee992fcf512cb80af6fcec7eec9c00831c964089c96c9b6107e0f3634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fa83f7a2e672c54a81d5097d2626165ab6ffdc2356a38930a97c7485d6d7a92",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-03-16T13:19:54Z",
    "title_canon_sha256": "d64c95eb44e15fe39ffdf8578feb5ade7315e9dc87b47636a3be517eaea59f8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.15249",
    "kind": "arxiv",
    "version": 2
  }
}