Pith Number

pith:V2B2MWQ6

pith:2022:V2B2MWQ6BPXQEYUQWQRD5F4LB5

not attested not anchored not stored refs pending

Threshold Rates of Codes Ensembles: Linear is Best

Chen Yuan, Nicolas Resch

arxiv:2205.01513 v1 · 2022-05-03 · 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{V2B2MWQ6BPXQEYUQWQRD5F4LB5}

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	2026-07-05T04:20:05.890725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae83a65a1e0bef026290b4223e978b0f7e32d3b4eb3a316ebc799a57d62b3d06

Aliases

arxiv: 2205.01513 · arxiv_version: 2205.01513v1 · doi: 10.48550/arxiv.2205.01513 · pith_short_12: V2B2MWQ6BPXQ · pith_short_16: V2B2MWQ6BPXQEYUQ · pith_short_8: V2B2MWQ6

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/V2B2MWQ6BPXQEYUQWQRD5F4LB5 \
  | 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: ae83a65a1e0bef026290b4223e978b0f7e32d3b4eb3a316ebc799a57d62b3d06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "271424b42702280dba37c1949ed3d0b68ea7f8de34ea4242cd2b210c0fe9b9ab",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2022-05-03T14:10:11Z",
    "title_canon_sha256": "6bcd38da06ac748569c366da6cb8b4a4098ba49a93c25cc4378fdea3e58df90a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.01513",
    "kind": "arxiv",
    "version": 1
  }
}