Pith Number

pith:XC2LZ5KS

pith:2021:XC2LZ5KSXVKID32O2OF5NJR7KT

not attested not anchored not stored refs pending

Some new results on bar visibility of digraphs

Douglas B. West, Jun Ge, Yan Yang, Yuanrui Feng

arxiv:2108.12086 v1 · 2021-08-27 · 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{XC2LZ5KSXVKID32O2OF5NJR7KT}

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	2026-07-05T03:09:21.661690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8b4bcf552bd5481ef4ed38bd6a63f54eea82f7bfab902436846aa7bb208247e

Aliases

arxiv: 2108.12086 · arxiv_version: 2108.12086v1 · doi: 10.48550/arxiv.2108.12086 · pith_short_12: XC2LZ5KSXVKI · pith_short_16: XC2LZ5KSXVKID32O · pith_short_8: XC2LZ5KS

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/XC2LZ5KSXVKID32O2OF5NJR7KT \
  | 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: b8b4bcf552bd5481ef4ed38bd6a63f54eea82f7bfab902436846aa7bb208247e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b298fa68c07ceb191d8a1ced52b98b3308a36460e1a8e787492d943fc3178206",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-08-27T02:01:09Z",
    "title_canon_sha256": "8b4e666e47201cbb6158d3ad85f46575179bc077d0897b0d8790f72b9d3730b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.12086",
    "kind": "arxiv",
    "version": 1
  }
}