Pith Number

pith:54JAF6G7

pith:2020:54JAF6G7XB2W3I7VER5UHGFVOZ

not attested not anchored not stored refs pending

On weak metric dimension of digraphs

Kaishun Wang, Min Feng, Yuefeng Yang

arxiv:2011.12038 v2 · 2020-11-24 · 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{54JAF6G7XB2W3I7VER5UHGFVOZ}

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	2026-07-05T01:57:21.946076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef1202f8dfb8756da3f5247b4398b5766f5704c09b99a2901568093eb9fcb14f

Aliases

arxiv: 2011.12038 · arxiv_version: 2011.12038v2 · doi: 10.48550/arxiv.2011.12038 · pith_short_12: 54JAF6G7XB2W · pith_short_16: 54JAF6G7XB2W3I7V · pith_short_8: 54JAF6G7

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/54JAF6G7XB2W3I7VER5UHGFVOZ \
  | 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: ef1202f8dfb8756da3f5247b4398b5766f5704c09b99a2901568093eb9fcb14f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bc4111ce0e583e8af56a03c634b0c05db975ea2876fa2eb282e01c7432082cc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-11-24T11:31:21Z",
    "title_canon_sha256": "fe03eaba456f7666f927163ac3ceae0ffdd78721f6ee6bdc516d75add8a6e7f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.12038",
    "kind": "arxiv",
    "version": 2
  }
}