Pith Number

pith:ZJFDHMAH

pith:2024:ZJFDHMAHXOX777UIMTY3Y52SVF

not attested not anchored not stored refs pending

Weak rainbow saturation numbers of graphs

Jie Ma, Tianying Xie, Xihe Li

arxiv:2401.11525 v1 · 2024-01-21 · 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{ZJFDHMAHXOX777UIMTY3Y52SVF}

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	2026-07-05T09:57:19.086564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca4a33b007bbaffffe8864f1bc7752a974c8f198934cedbb7f5aae151f11a7dd

Aliases

arxiv: 2401.11525 · arxiv_version: 2401.11525v1 · doi: 10.48550/arxiv.2401.11525 · pith_short_12: ZJFDHMAHXOX7 · pith_short_16: ZJFDHMAHXOX777UI · pith_short_8: ZJFDHMAH

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/ZJFDHMAHXOX777UIMTY3Y52SVF \
  | 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: ca4a33b007bbaffffe8864f1bc7752a974c8f198934cedbb7f5aae151f11a7dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dab1538bf865668da8c6fa5af7bf6d5d9230ec579709ed6ab97bad632a8e0ddf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-01-21T15:37:47Z",
    "title_canon_sha256": "cd7dd6fbfd478fab0e446199e1ea1e6b4b370c95fb073c7a49bc336f066b7119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.11525",
    "kind": "arxiv",
    "version": 1
  }
}