Pith Number

pith:WSX36BX3

pith:2024:WSX36BX33LRERUCTRLNBAKPWTZ

not attested not anchored not stored refs pending

Some conjectures on $r$-graphs and equivalences

Eckhard Steffen, Isaak H. Wolf, Junxue Zhang, Yulai Ma

arxiv:2411.01753 v2 · 2024-11-04 · 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{WSX36BX33LRERUCTRLNBAKPWTZ}

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	2026-05-29T01:04:51.438555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4afbf06fbdae248d0538ada1029f69e6ec064463ece6dae638243eb2fcd2a1e

Aliases

arxiv: 2411.01753 · arxiv_version: 2411.01753v2 · doi: 10.48550/arxiv.2411.01753 · pith_short_12: WSX36BX33LRE · pith_short_16: WSX36BX33LRERUCT · pith_short_8: WSX36BX3

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/WSX36BX33LRERUCTRLNBAKPWTZ \
  | 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: b4afbf06fbdae248d0538ada1029f69e6ec064463ece6dae638243eb2fcd2a1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48187edd5d8bbee44474f4143a54d4142ce1119e4c31aa0749adb532eb5318cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-04T02:31:35Z",
    "title_canon_sha256": "8dae2fd1d823b02af917436cec555900a2ee335d255b751e826786bdd87c08e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.01753",
    "kind": "arxiv",
    "version": 2
  }
}