Pith Number

pith:KA4A6PN5

pith:2025:KA4A6PN5EKENMEKIIW2RKOPYYN

not attested not anchored not stored refs pending

Explicit Codes approaching Generalized Singleton Bound using Expanders

Fernando Granha Jeronimo, Madhur Tulsiani, Shashank Srivastava, Tushant Mittal

arxiv:2502.07308 v1 · 2025-02-11 · 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{KA4A6PN5EKENMEKIIW2RKOPYYN}

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	2026-07-05T10:12:35.820053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50380f3dbd2288d6114845b51539f8c34e4c2a1d4872b5ba421bf935d4a6d0b6

Aliases

arxiv: 2502.07308 · arxiv_version: 2502.07308v1 · doi: 10.48550/arxiv.2502.07308 · pith_short_12: KA4A6PN5EKEN · pith_short_16: KA4A6PN5EKENMEKI · pith_short_8: KA4A6PN5

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/KA4A6PN5EKENMEKIIW2RKOPYYN \
  | 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: 50380f3dbd2288d6114845b51539f8c34e4c2a1d4872b5ba421bf935d4a6d0b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "429e026b649f0b694380aea970a49a528f3bb54f3286e6c57c12a09db65900c9",
    "cross_cats_sorted": [
      "cs.CC",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-02-11T07:11:29Z",
    "title_canon_sha256": "be9f20850400b876cba27d5795765ff8af33179fc94579bf68b5e089954a48c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.07308",
    "kind": "arxiv",
    "version": 1
  }
}