Pith Number

pith:DKF2VIGR

pith:2016:DKF2VIGRDFKQ7MVI3ZVOZGPY65

not attested not anchored not stored refs pending

Efficient Algorithms for Constructing Very Sparse Spanners and Emulators

Michael Elkin, Ofer Neiman

arxiv:1607.08337 v2 · 2016-07-28 · 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{DKF2VIGRDFKQ7MVI3ZVOZGPY65}

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	2026-05-18T00:51:25.397684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a8baaa0d119550fb2a8de6aec99f8f770a9e3592b25b61cf6c326896ab4dd20

Aliases

arxiv: 1607.08337 · arxiv_version: 1607.08337v2 · doi: 10.48550/arxiv.1607.08337 · pith_short_12: DKF2VIGRDFKQ · pith_short_16: DKF2VIGRDFKQ7MVI · pith_short_8: DKF2VIGR

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/DKF2VIGRDFKQ7MVI3ZVOZGPY65 \
  | 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: 1a8baaa0d119550fb2a8de6aec99f8f770a9e3592b25b61cf6c326896ab4dd20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aeaeaa20ffb09e62b27df3ed38c6e43c6fdd4798da71ab475892627f1c2a24c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-07-28T07:47:52Z",
    "title_canon_sha256": "f499aace7f374e4023b66e620e8ad513708ea76fdcedb77603c67b9d5f3b38c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08337",
    "kind": "arxiv",
    "version": 2
  }
}