Pith Number

pith:R7DLZNWB

pith:2015:R7DLZNWB2SAVK77Z5ECDJZDZCC

not attested not anchored not stored refs pending

Fractional triangle decompositions of dense 3-partite graphs

Flora C. Bowditch, Peter J. Dukes

arxiv:1510.08998 v2 · 2015-10-30 · 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{R7DLZNWB2SAVK77Z5ECDJZDZCC}

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	2026-05-18T01:04:50.379476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fc6bcb6c1d481557ff9e90434e47910a72ccbb1ea346d13c740f81f3668e33b

Aliases

arxiv: 1510.08998 · arxiv_version: 1510.08998v2 · doi: 10.48550/arxiv.1510.08998 · pith_short_12: R7DLZNWB2SAV · pith_short_16: R7DLZNWB2SAVK77Z · pith_short_8: R7DLZNWB

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/R7DLZNWB2SAVK77Z5ECDJZDZCC \
  | 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: 8fc6bcb6c1d481557ff9e90434e47910a72ccbb1ea346d13c740f81f3668e33b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2f2675a1fe5f7c2a8b377837b5961b5e45e2fb54f54f334697fded98231b312",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-30T08:24:24Z",
    "title_canon_sha256": "bd09264460e7b454d5c30035f16b52cdde9c5f5776e81ce96fdd8f6482756c4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08998",
    "kind": "arxiv",
    "version": 2
  }
}