Pith Number

pith:3FQAZXSE

pith:2021:3FQAZXSEVSMT3U2CZRNPABKOEP

not attested not anchored not stored refs pending

Approximate trace reconstruction of random strings from a constant number of traces

Yuval Peres, Zachary Chase

arxiv:2107.06454 v1 · 2021-07-14 · 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{3FQAZXSEVSMT3U2CZRNPABKOEP}

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	2026-07-05T02:57:58.224180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9600cde44ac993dd342cc5af0054e23f406d6d6f2592dfdeb0b551a33fd87de

Aliases

arxiv: 2107.06454 · arxiv_version: 2107.06454v1 · doi: 10.48550/arxiv.2107.06454 · pith_short_12: 3FQAZXSEVSMT · pith_short_16: 3FQAZXSEVSMT3U2C · pith_short_8: 3FQAZXSE

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/3FQAZXSEVSMT3U2CZRNPABKOEP \
  | 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: d9600cde44ac993dd342cc5af0054e23f406d6d6f2592dfdeb0b551a33fd87de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94285359ba63fe226751eed3bbf1a83f6e4afe7615f088dc7fc8c4bc286184d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-07-14T02:21:35Z",
    "title_canon_sha256": "8d46389b56bbe0caa0028c61dd7fa87cafdf2715b27c1f96d58241fc90dd09b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.06454",
    "kind": "arxiv",
    "version": 1
  }
}