Pith Number

pith:2AOPYNQO

pith:2018:2AOPYNQOZCQPRIKZ6T325NS3JX

not attested not anchored not stored refs pending

Almost Optimal Distance Oracles for Planar Graphs

Oren Weimann, Panagiotis Charalampopoulos, Pawe{\l} Gawrychowski, Shay Mozes

arxiv:1811.01551 v1 · 2018-11-05 · 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{2AOPYNQOZCQPRIKZ6T325NS3JX}

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	2026-05-18T00:01:33.996256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d01cfc360ec8a0f8a159f4f7aeb65b4dcbb5d33d9ad0bcfe42d4d8cef2bd6e47

Aliases

arxiv: 1811.01551 · arxiv_version: 1811.01551v1 · doi: 10.48550/arxiv.1811.01551 · pith_short_12: 2AOPYNQOZCQP · pith_short_16: 2AOPYNQOZCQPRIKZ · pith_short_8: 2AOPYNQO

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/2AOPYNQOZCQPRIKZ6T325NS3JX \
  | 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: d01cfc360ec8a0f8a159f4f7aeb65b4dcbb5d33d9ad0bcfe42d4d8cef2bd6e47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6be4e2ede99a34224e9e853033bea347e910b9296d4e7a36d2c8592b5813f66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-11-05T08:37:57Z",
    "title_canon_sha256": "aa6d4301d7893586f6d7fd7793295be66c5e2ab861aba1ce2b9d86ab74777f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01551",
    "kind": "arxiv",
    "version": 1
  }
}