Pith Number

pith:ZKYY5S2D

pith:2017:ZKYY5S2DFIWDIBPS4DN5J66BOJ

not attested not anchored not stored refs pending

Lower Bounds for Approximating Graph Parameters via Communication Complexity

Talya Eden, Will Rosenbaum

arxiv:1709.04262 v2 · 2017-09-13 · cs.CC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKYY5S2DFIWDIBPS4DN5J66BOJ}

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	2026-05-18T00:25:07.495612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab18ecb432a2c3405f2e0dbd4fbc1726a286c846a2292b90850b925992d5b74

Aliases

arxiv: 1709.04262 · arxiv_version: 1709.04262v2 · doi: 10.48550/arxiv.1709.04262 · pith_short_12: ZKYY5S2DFIWD · pith_short_16: ZKYY5S2DFIWDIBPS · pith_short_8: ZKYY5S2D

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/ZKYY5S2DFIWDIBPS4DN5J66BOJ \
  | 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: cab18ecb432a2c3405f2e0dbd4fbc1726a286c846a2292b90850b925992d5b74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3d05e83311ffdb2d3c82882798eece5c8d6cb44c599b86e1f8ae8637a536365",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-09-13T11:53:21Z",
    "title_canon_sha256": "9486177c1de0f0b58328bf7b83bd153bb4d223517590e7178a7188df8b593816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04262",
    "kind": "arxiv",
    "version": 2
  }
}