Pith Number

pith:7UN2PT5S

pith:2023:7UN2PT5SEV32TPJXVGJCKCVSOP

not attested not anchored not stored refs pending

On Two problems of defective choosability

Jie Ma, Rongxing Xu, Xuding Zhu

arxiv:2306.11995 v2 · 2023-06-21 · 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{7UN2PT5SEV32TPJXVGJCKCVSOP}

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	2026-07-05T06:24:01.160740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd1ba7cfb22577a9bd37a992250ab273e56b3f5dd71c0ad6b79d2629285a7ad7

Aliases

arxiv: 2306.11995 · arxiv_version: 2306.11995v2 · doi: 10.48550/arxiv.2306.11995 · pith_short_12: 7UN2PT5SEV32 · pith_short_16: 7UN2PT5SEV32TPJX · pith_short_8: 7UN2PT5S

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/7UN2PT5SEV32TPJXVGJCKCVSOP \
  | 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: fd1ba7cfb22577a9bd37a992250ab273e56b3f5dd71c0ad6b79d2629285a7ad7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32135947a56e862ff6957ddb3b9dd44e390009b7b912fca52646845f870f5b16",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-06-21T03:12:45Z",
    "title_canon_sha256": "4a358febf9131fc42f91d3fe9c5f96732dbd5e0b74e86be6d5bb81d4da964c12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.11995",
    "kind": "arxiv",
    "version": 2
  }
}