Pith Number

pith:V6PEW6CC

pith:2021:V6PEW6CCZN3LXY4VPUXVDP4CDN

not attested not anchored not stored refs pending

Deterministic Approximation of Random Walks via Queries in Graphs of Unbounded Size

Edward Pyne, Salil Vadhan

arxiv:2111.01997 v1 · 2021-11-03 · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6PEW6CCZN3LXY4VPUXVDP4CDN}

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	2026-07-05T03:28:45.478407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af9e4b7842cb76bbe3957d2f51bf821b54e3db6f6e299b1c2e3cab635499cb0f

Aliases

arxiv: 2111.01997 · arxiv_version: 2111.01997v1 · doi: 10.48550/arxiv.2111.01997 · pith_short_12: V6PEW6CCZN3L · pith_short_16: V6PEW6CCZN3LXY4V · pith_short_8: V6PEW6CC

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/V6PEW6CCZN3LXY4VPUXVDP4CDN \
  | 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: af9e4b7842cb76bbe3957d2f51bf821b54e3db6f6e299b1c2e3cab635499cb0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "762853c7e96841e2bc013194687c74a8ea60fdc555874cbe1d45e70110ca25e9",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2021-11-03T03:30:30Z",
    "title_canon_sha256": "17f68e2155c43520d23a9a8c8f3e7f9d009cb78c10e58809776474507191c985"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.01997",
    "kind": "arxiv",
    "version": 1
  }
}