Pith Number

pith:I7B34UAO

pith:2011:I7B34UAO6SPL3QRI2TXQSY3W5D

not attested not anchored not stored refs pending

The Locating Chromatic Number of the Join of Graphs

Ali Behtoei

arxiv:1112.2357 v2 · 2011-12-11 · 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{I7B34UAO6SPL3QRI2TXQSY3W5D}

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	2026-05-18T04:04:06.345604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47c3be500ef49ebdc228d4ef096376e8facf110c7b27735be2349fddee8bca8d

Aliases

arxiv: 1112.2357 · arxiv_version: 1112.2357v2 · doi: 10.48550/arxiv.1112.2357 · pith_short_12: I7B34UAO6SPL · pith_short_16: I7B34UAO6SPL3QRI · pith_short_8: I7B34UAO

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/I7B34UAO6SPL3QRI2TXQSY3W5D \
  | 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: 47c3be500ef49ebdc228d4ef096376e8facf110c7b27735be2349fddee8bca8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00c7cce8a0699cacea0f1d2ac79e450c28cc45ca75626bb430f529b2bcd496ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-11T14:13:06Z",
    "title_canon_sha256": "12508aa96e540b26b025abd5a3f5817dfac78c3682c1276dfbe0190f8641973a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2357",
    "kind": "arxiv",
    "version": 2
  }
}