Pith Number

pith:HTSTY3PC

pith:2011:HTSTY3PC7B5EFFWTUGIZJAH4GA

not attested not anchored not stored refs pending

On the Zero-Error Capacity Threshold for Deletion Channels

Ian A. Kash, Jonathan Ullman, Justin Thaler, Michael Mitzenmacher

arxiv:1102.0040 v1 · 2011-01-31 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTSTY3PC7B5EFFWTUGIZJAH4GA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:30:13.301438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ce53c6de2f87a4296d3a1919480fc302f14f3b04d32f3711d6458d7d0466214

Aliases

arxiv: 1102.0040 · arxiv_version: 1102.0040v1 · doi: 10.48550/arxiv.1102.0040 · pith_short_12: HTSTY3PC7B5E · pith_short_16: HTSTY3PC7B5EFFWT · pith_short_8: HTSTY3PC

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/HTSTY3PC7B5EFFWTUGIZJAH4GA \
  | 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: 3ce53c6de2f87a4296d3a1919480fc302f14f3b04d32f3711d6458d7d0466214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33dbc9d4320300fa4884de760c7e6f18431ab13afb05923f469d4d682124c9ea",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-01-31T23:41:41Z",
    "title_canon_sha256": "319e2bc33b0ea7b2ee1f2b09fdf1a02c7b22804026d13ed5237e7e8804cc187d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0040",
    "kind": "arxiv",
    "version": 1
  }
}