Pith Number

pith:GRZ7JM6C

pith:2020:GRZ7JM6CETG3BPXB5FLMQKV62I

not attested not anchored not stored refs pending

Possible cardinalities of the center of a graph

Xingzhi Zhan, Yanan Hu

arxiv:2009.05925 v1 · 2020-09-13 · 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{GRZ7JM6CETG3BPXB5FLMQKV62I}

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	2026-07-05T01:35:02.507890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3473f4b3c224cdb0bee1e956c82abed2280156fd90f44fa44d6e58d065503adc

Aliases

arxiv: 2009.05925 · arxiv_version: 2009.05925v1 · doi: 10.48550/arxiv.2009.05925 · pith_short_12: GRZ7JM6CETG3 · pith_short_16: GRZ7JM6CETG3BPXB · pith_short_8: GRZ7JM6C

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/GRZ7JM6CETG3BPXB5FLMQKV62I \
  | 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: 3473f4b3c224cdb0bee1e956c82abed2280156fd90f44fa44d6e58d065503adc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cec5e1f670a21abb6da88026677052f9dd4784da7321ea5a09ff69e31fc7b9f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-09-13T05:16:45Z",
    "title_canon_sha256": "fcb7057ba54f86b6314b8f764f083e4a9c2a37adc3062f53b4ff63f0bb6726a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.05925",
    "kind": "arxiv",
    "version": 1
  }
}