Pith Number

pith:TZNOWM7S

pith:2025:TZNOWM7SVPVFX7W4XUI3CS5AFE

not attested not anchored not stored refs pending

Improving the average dilation of a metric graph by adding edges

Eliot W. Robson, Sariel Har-Peled

arxiv:2506.04246 v1 · 2025-05-30 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZNOWM7SVPVFX7W4XUI3CS5AFE}

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	2026-07-05T11:16:10.999779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e5aeb33f2abea5bfedcbd11b14ba029003958e2eb863f14b3ce2cd1d3b2a17b

Aliases

arxiv: 2506.04246 · arxiv_version: 2506.04246v1 · doi: 10.48550/arxiv.2506.04246 · pith_short_12: TZNOWM7SVPVF · pith_short_16: TZNOWM7SVPVFX7W4 · pith_short_8: TZNOWM7S

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/TZNOWM7SVPVFX7W4XUI3CS5AFE \
  | 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: 9e5aeb33f2abea5bfedcbd11b14ba029003958e2eb863f14b3ce2cd1d3b2a17b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3b01360cf3b75416c30be8e182f54e372960f6d941c3cdfd6beb6e3ff7c01e0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2025-05-30T21:58:20Z",
    "title_canon_sha256": "896b84c80093b0176402c8174d1a8ec29959be1db5ec1d33b801e3d285d82da3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04246",
    "kind": "arxiv",
    "version": 1
  }
}