Pith Number

pith:66NSZ3E7

pith:2026:66NSZ3E7QBUBVIZIH7TRGDTRC2

not attested not anchored not stored refs pending

On Occurrence-Preserving Morphisms

Cristian Urbina, Hideo Bannai, Kaisei Kishi, Peaker Guo

arxiv:2605.18034 v1 · 2026-05-18 · math.CO · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66NSZ3E7QBUBVIZIH7TRGDTRC2}

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	2026-05-20T00:05:12.388675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f79b2cec9f80681aa3283fe7130e7116a2c20a86d76276cef2dbb3b4b829fc89

Aliases

arxiv: 2605.18034 · arxiv_version: 2605.18034v1 · doi: 10.48550/arxiv.2605.18034 · pith_short_12: 66NSZ3E7QBUB · pith_short_16: 66NSZ3E7QBUBVIZI · pith_short_8: 66NSZ3E7

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/66NSZ3E7QBUBVIZIH7TRGDTRC2 \
  | 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: f79b2cec9f80681aa3283fe7130e7116a2c20a86d76276cef2dbb3b4b829fc89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de82a116739c68e9a5e0dd69e2653c0bc36804859d83a51a7cf4f0eae6c069de",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-18T08:24:10Z",
    "title_canon_sha256": "7fbacf9da8b5517f8635b328583f7e1c69da3e596ef3b727c79913bd2a8f58f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18034",
    "kind": "arxiv",
    "version": 1
  }
}