Pith Number

pith:7Q3CL57Z

pith:2012:7Q3CL57ZIZ5BUNZ4FYK3QC5RKV

not attested not anchored not stored refs pending

Cumulative Distance Enumerators of Random Codes and their Thresholds

Chaoping Xing, Hongwei Liu, Jing Shen, San Ling, Yun Fan

arxiv:1212.5679 v1 · 2012-12-22 · 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{7Q3CL57ZIZ5BUNZ4FYK3QC5RKV}

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	2026-05-18T03:37:51.806059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc3625f7f9467a1a373c2e15b80bb155710ac306073557aceb39a84d29d4179c

Aliases

arxiv: 1212.5679 · arxiv_version: 1212.5679v1 · doi: 10.48550/arxiv.1212.5679 · pith_short_12: 7Q3CL57ZIZ5B · pith_short_16: 7Q3CL57ZIZ5BUNZ4 · pith_short_8: 7Q3CL57Z

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/7Q3CL57ZIZ5BUNZ4FYK3QC5RKV \
  | 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: fc3625f7f9467a1a373c2e15b80bb155710ac306073557aceb39a84d29d4179c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bb57cd40b8b58573e285f0c5cc90ec1740e58337f20109d4b17e76930e61b2b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-22T10:30:50Z",
    "title_canon_sha256": "e8bcf5988993f7327e50cfd8bfe0bb8f875157fcad7aa44bce5d73284200fe93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5679",
    "kind": "arxiv",
    "version": 1
  }
}