Pith Number

pith:TSHMSHPX

pith:2019:TSHMSHPXQGGFDY3ENNFPOWYCUX

not attested not anchored not stored refs pending

New Lower Bounds for Trace Reconstruction

Zachary Chase

arxiv:1905.03031 v2 · 2019-05-08 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TSHMSHPXQGGFDY3ENNFPOWYCUX}

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.

Cited by

1 paper in Pith

A Generalized Trace Reconstruction Problem: Recovering a String of Probabilities

Receipt and verification

First computed	2026-07-05T01:21:33.972251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c8ec91df7818c51e3646b4af75b02a5fb2ddbe4e6b7fec594cb76e26223b104

Aliases

arxiv: 1905.03031 · arxiv_version: 1905.03031v2 · doi: 10.48550/arxiv.1905.03031 · pith_short_12: TSHMSHPXQGGF · pith_short_16: TSHMSHPXQGGFDY3E · pith_short_8: TSHMSHPX

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/TSHMSHPXQGGFDY3ENNFPOWYCUX \
  | 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: 9c8ec91df7818c51e3646b4af75b02a5fb2ddbe4e6b7fec594cb76e26223b104

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "844254542325ba315562e92e5de5dc2f5cd467b91cefacb2de5361143ab085b9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-08T12:28:01Z",
    "title_canon_sha256": "ccaa9405c2280949859b86ab765c1b880f06f48467a73753ee03b7e0ba267246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03031",
    "kind": "arxiv",
    "version": 2
  }
}