Pith Number

pith:XBBQGXW7

pith:2020:XBBQGXW7MK6RIIOAR4OJBWKH2S

not attested not anchored not stored refs pending

Circular Trace Reconstruction

Michael Ren, Shyam Narayanan

arxiv:2009.01346 v2 · 2020-09-02 · cs.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XBBQGXW7MK6RIIOAR4OJBWKH2S}

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	2026-07-05T01:58:56.255296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b843035edf62bd1421c08f1c90d947d4ac35134ebdc06ea8abfb78dc6d07d13f

Aliases

arxiv: 2009.01346 · arxiv_version: 2009.01346v2 · doi: 10.48550/arxiv.2009.01346 · pith_short_12: XBBQGXW7MK6R · pith_short_16: XBBQGXW7MK6RIIOA · pith_short_8: XBBQGXW7

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/XBBQGXW7MK6RIIOAR4OJBWKH2S \
  | 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: b843035edf62bd1421c08f1c90d947d4ac35134ebdc06ea8abfb78dc6d07d13f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e45cde2457a288667888acfe2766718f615aa7184e88c7de4de9a695db99efdf",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2020-09-02T21:09:55Z",
    "title_canon_sha256": "3815b464d9900c38d899ebefcfcec9b9107dd0269dca2db47e09be6a6ec586fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.01346",
    "kind": "arxiv",
    "version": 2
  }
}