Pith Number

pith:2B2QZ432

pith:2015:2B2QZ432PPSPJWU5HKCGSGSGUT

not attested not anchored not stored refs pending

An $O(n^{\epsilon})$ Space and Polynomial Time Algorithm for Reachability in Directed Layered Planar Graphs

Diptarka Chakraborty, Raghunath Tewari

arxiv:1501.05828 v1 · 2015-01-23 · cs.DS · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2B2QZ432PPSPJWU5HKCGSGSGUT}

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	2026-05-18T02:28:48.875610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0750cf37a7be4f4da9d3a84691a46a4e8c32b2b009bd8e3ca4abb1251f623fb

Aliases

arxiv: 1501.05828 · arxiv_version: 1501.05828v1 · doi: 10.48550/arxiv.1501.05828 · pith_short_12: 2B2QZ432PPSP · pith_short_16: 2B2QZ432PPSPJWU5 · pith_short_8: 2B2QZ432

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/2B2QZ432PPSPJWU5HKCGSGSGUT \
  | 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: d0750cf37a7be4f4da9d3a84691a46a4e8c32b2b009bd8e3ca4abb1251f623fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe7f74ddd7fcd9844480384a477e10875d4e99110e718c08cd17e1197a540d38",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-01-23T15:23:25Z",
    "title_canon_sha256": "e9c7215baeea4bad3ebf8f66d6757dd8c886fcf14596151753c7887093d5f0e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05828",
    "kind": "arxiv",
    "version": 1
  }
}