Pith Number

pith:XWTWYVVW

pith:2025:XWTWYVVWYAKHFACD2SIKPTKMHO

not attested not anchored not stored refs pending

Some remarks on Folkman graphs for triangles

Eion Mulrenin, Steven Van Overberghe

arxiv:2506.14942 v4 · 2025-06-17 · 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{XWTWYVVWYAKHFACD2SIKPTKMHO}

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	2026-06-19T16:12:46.232422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bda76c56b6c014728043d490a7cd4c3bba87e1efb44248c644ea6f158d720a38

Aliases

arxiv: 2506.14942 · arxiv_version: 2506.14942v4 · doi: 10.48550/arxiv.2506.14942 · pith_short_12: XWTWYVVWYAKH · pith_short_16: XWTWYVVWYAKHFACD · pith_short_8: XWTWYVVW

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/XWTWYVVWYAKHFACD2SIKPTKMHO \
  | 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: bda76c56b6c014728043d490a7cd4c3bba87e1efb44248c644ea6f158d720a38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a443b23ad9dca86f9e20781ba4fffbdb6b66ecbe52c9fe0e5c7635f02b04068",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-17T19:47:32Z",
    "title_canon_sha256": "45edcdb5bfde184a4ebf8c146e852a8a9cf49475f75485afed7fe2d5e992a053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14942",
    "kind": "arxiv",
    "version": 4
  }
}