Pith Number

pith:UJ5BGA4X

pith:2012:UJ5BGA4XKSXEW6PKWLREVDSMLB

not attested not anchored not stored refs pending

Approximate Distance Oracles with Improved Query Time

Christian Wulff-Nilsen

arxiv:1202.2336 v3 · 2012-02-10 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJ5BGA4XKSXEW6PKWLREVDSMLB}

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	2026-05-18T03:44:15.417413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a27a13039754ae4b79eab2e24a8e4c58408b978ae87dc557c0448a0976d6feb3

Aliases

arxiv: 1202.2336 · arxiv_version: 1202.2336v3 · doi: 10.48550/arxiv.1202.2336 · pith_short_12: UJ5BGA4XKSXE · pith_short_16: UJ5BGA4XKSXEW6PK · pith_short_8: UJ5BGA4X

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/UJ5BGA4XKSXEW6PKWLREVDSMLB \
  | 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: a27a13039754ae4b79eab2e24a8e4c58408b978ae87dc557c0448a0976d6feb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ed29d9d8a9c533287d318c6d92a24b9784876602ab0e07423c3a45d07c9d7a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-02-10T19:51:10Z",
    "title_canon_sha256": "0c283e8d09b569e7ef9f55bbd8495fd6bc6c0cdb63f447c4e2427bfd48289492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2336",
    "kind": "arxiv",
    "version": 3
  }
}