Pith Number

pith:I3X5PLRK

pith:2020:I3X5PLRKMCFZP6YGNWKSMHLTL6

not attested not anchored not stored refs pending

Fully-Dynamic Graph Sparsifiers Against an Adaptive Adversary

Aaron Bernstein, Aaron Sidford, Danupon Nanongkai, He Sun, Jan van den Brand, Maximilian Probst Gutenberg, Thatchaphol Saranurak

arxiv:2004.08432 v3 · 2020-04-17 · 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{I3X5PLRKMCFZP6YGNWKSMHLTL6}

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.

Cited by

1 paper in Pith

Quantum Cut Sparsifiers

Receipt and verification

First computed	2026-07-05T01:50:20.602464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46efd7ae2a608b97fb066d95261d735f8615f4d3ce9318ee004208ead968a019

Aliases

arxiv: 2004.08432 · arxiv_version: 2004.08432v3 · doi: 10.48550/arxiv.2004.08432 · pith_short_12: I3X5PLRKMCFZ · pith_short_16: I3X5PLRKMCFZP6YG · pith_short_8: I3X5PLRK

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/I3X5PLRKMCFZP6YGNWKSMHLTL6 \
  | 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: 46efd7ae2a608b97fb066d95261d735f8615f4d3ce9318ee004208ead968a019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5905c295fd5da0372bccb2c53d86edc52678dae6366ed8044f3dcd7d47f77404",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2020-04-17T19:51:47Z",
    "title_canon_sha256": "7752b9351bcfa5bd9d53caff8f1ee8eb61af21595d52d2e4fa9386a3910a3cf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.08432",
    "kind": "arxiv",
    "version": 3
  }
}