Pith Number

pith:UXSWSIII

pith:2021:UXSWSIIIXGDGHWPYLIGRZERQCE

not attested not anchored not stored refs pending

Weakening Total Coloring Conjecture: Weak TCC and Hadwiger's Conjecture on Total Graphs

Ankur Naskar, L. Sunil Chandran, Manu Basavaraju, Mathew C. Francis

arxiv:2107.09994 v3 · 2021-07-21 · 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{UXSWSIIIXGDGHWPYLIGRZERQCE}

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	2026-07-05T03:51:08.690594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5e5692108b98663d9f85a0d1c92301110672189e94cdab04a24310757a50879

Aliases

arxiv: 2107.09994 · arxiv_version: 2107.09994v3 · doi: 10.48550/arxiv.2107.09994 · pith_short_12: UXSWSIIIXGDG · pith_short_16: UXSWSIIIXGDGHWPY · pith_short_8: UXSWSIII

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/UXSWSIIIXGDGHWPYLIGRZERQCE \
  | 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: a5e5692108b98663d9f85a0d1c92301110672189e94cdab04a24310757a50879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1347b251e8a6df7eb5a2b223e225c5b4213c09e82642f2afc9071b5e4a321f6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-07-21T10:24:31Z",
    "title_canon_sha256": "3947cb9c479b66a608a8938bc3e7069b1547fc2dd70d7f312ebf91fa804d7fbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.09994",
    "kind": "arxiv",
    "version": 3
  }
}