Pith Number

pith:HQPQIK2K

pith:2013:HQPQIK2KY3C3O6XYHHX7KTVKWQ

not attested not anchored not stored refs pending

Bounds on the rate of superimposed codes

Arkady D'yachkov, Ilya Vorobyev, Nikita Polianskii, Vladislav Shchukin

arxiv:1401.0050 v6 · 2013-12-30 · cs.IT · math.IT · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQPQIK2KY3C3O6XYHHX7KTVKWQ}

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	2026-05-18T01:14:36.342192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c1f042b4ac6c5b77af839eff54eaab43562b1d4dd0e486a2380a1133542d926

Aliases

arxiv: 1401.0050 · arxiv_version: 1401.0050v6 · doi: 10.48550/arxiv.1401.0050 · pith_short_12: HQPQIK2KY3C3 · pith_short_16: HQPQIK2KY3C3O6XY · pith_short_8: HQPQIK2K

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/HQPQIK2KY3C3O6XYHHX7KTVKWQ \
  | 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: 3c1f042b4ac6c5b77af839eff54eaab43562b1d4dd0e486a2380a1133542d926

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa868dca3471a423675111564b4c4bb615841ca790951c177164a503b23b5bf0",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-12-30T22:59:39Z",
    "title_canon_sha256": "9e1b25b2bc0c139645b7f19505c5c142a8c5be69865f6de3b685c996b70f1f16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0050",
    "kind": "arxiv",
    "version": 6
  }
}