Pith Number

pith:W63NMU5S

pith:2016:W63NMU5SLT7MUOKO574VR55LI2

not attested not anchored not stored refs pending

Almost-Linear-Time Algorithms for Markov Chains and New Spectral Primitives for Directed Graphs

Aaron Sidford, Adrian Vladu, Anup Rao, John Peebles, Jonathan Kelner, Michael B. Cohen, Richard Peng

arxiv:1611.00755 v1 · 2016-11-02 · 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{W63NMU5SLT7MUOKO574VR55LI2}

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	2026-05-18T01:00:31.945941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7b6d653b25cfeca394eeff958f7ab469e01662df03067afb07658130e6b0ee1

Aliases

arxiv: 1611.00755 · arxiv_version: 1611.00755v1 · doi: 10.48550/arxiv.1611.00755 · pith_short_12: W63NMU5SLT7M · pith_short_16: W63NMU5SLT7MUOKO · pith_short_8: W63NMU5S

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/W63NMU5SLT7MUOKO574VR55LI2 \
  | 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: b7b6d653b25cfeca394eeff958f7ab469e01662df03067afb07658130e6b0ee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "513091a06f5bf40cc6aa20983942728e697087abfb7b676d68ff3aac18414228",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-11-02T19:56:36Z",
    "title_canon_sha256": "a691650526fefd6fe172199d08c881fc7e7cf599dd9399ea1b2578b6b2d08b5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00755",
    "kind": "arxiv",
    "version": 1
  }
}