Pith Number

pith:3QPX254V

pith:2021:3QPX254VSX3DR6XLYE35QGUEMB

not attested not anchored not stored refs pending

Hardness of Approximate Diameter: Now for Undirected Graphs

Mina Dalirrooyfard, Ray Li, Virginia Vassilevska Williams

arxiv:2106.06026 v2 · 2021-06-10 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QPX254VSX3DR6XLYE35QGUEMB}

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	2026-07-05T03:31:28.121190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc1f7d779595f638faebc137d81a84604dcf4fbe924be1a6cffe391fb57183b5

Aliases

arxiv: 2106.06026 · arxiv_version: 2106.06026v2 · doi: 10.48550/arxiv.2106.06026 · pith_short_12: 3QPX254VSX3D · pith_short_16: 3QPX254VSX3DR6XL · pith_short_8: 3QPX254V

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/3QPX254VSX3DR6XLYE35QGUEMB \
  | 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: dc1f7d779595f638faebc137d81a84604dcf4fbe924be1a6cffe391fb57183b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96a5bf138cad15b091179846da80f30beaa3dc144a61c544766f748950992793",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2021-06-10T20:07:24Z",
    "title_canon_sha256": "7923ce174cb21ccdb7f0f867da586e7e419b150e3750a5510f430289b0e7e63b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.06026",
    "kind": "arxiv",
    "version": 2
  }
}