Pith Number

pith:VSWWCMWF

pith:2026:VSWWCMWFYKJMBMJLBJREYTGNBA

not attested not anchored not stored refs pending

Maniplexes as a Foundation for Cross-Linked Databases of Symmetric Objects

Andr\'es David Santamar\'ia-Galvis, Gabe Cunningham, Jano\v{s} Vidali, Katja Ber\v{c}i\v{c}

arxiv:2606.27987 v1 · 2026-06-26 · 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{VSWWCMWFYKJMBMJLBJREYTGNBA}

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	2026-06-29T01:14:54.602611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acad6132c5c292c0b12b0a624c4ccd0839725ac1e643747469f958546ac92de1

Aliases

arxiv: 2606.27987 · arxiv_version: 2606.27987v1 · doi: 10.48550/arxiv.2606.27987 · pith_short_12: VSWWCMWFYKJM · pith_short_16: VSWWCMWFYKJMBMJL · pith_short_8: VSWWCMWF

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/VSWWCMWFYKJMBMJLBJREYTGNBA \
  | 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: acad6132c5c292c0b12b0a624c4ccd0839725ac1e643747469f958546ac92de1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25039d9594006c4efa238fa0df1091f0248f3b86ae564a85cd552237b5ee2323",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-26T11:34:16Z",
    "title_canon_sha256": "b09527404b259ca45717507a3b5ca765387a1ecc0d5476e505d15c5f396efce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27987",
    "kind": "arxiv",
    "version": 1
  }
}