Pith Number

pith:SV2VWXIX

pith:2026:SV2VWXIXRRSNCV67L6GKHPCAX5

not attested not anchored not stored refs pending

Composition of bispans of $G$-sets and plethysm

David Mehrle, Evan Franchere, Jesse Keyes, Lakshay Modi, Nathan Cornelius, Nathaniel Stapleton, Usman Hafeez

arxiv:2606.03649 v1 · 2026-06-02 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SV2VWXIXRRSNCV67L6GKHPCAX5}

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	2026-06-03T01:06:03.509995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95755b5d178c64d157df5f8ca3bc40bf6bb8152acb0d05875df7b9f37584e346

Aliases

arxiv: 2606.03649 · arxiv_version: 2606.03649v1 · doi: 10.48550/arxiv.2606.03649 · pith_short_12: SV2VWXIXRRSN · pith_short_16: SV2VWXIXRRSNCV67 · pith_short_8: SV2VWXIX

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/SV2VWXIXRRSNCV67L6GKHPCAX5 \
  | 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: 95755b5d178c64d157df5f8ca3bc40bf6bb8152acb0d05875df7b9f37584e346

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "335b6239552dec50a4614ae4ac30e96afd3afd419bd25063f739f37b67b08a81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-02T13:40:12Z",
    "title_canon_sha256": "cc30c01b0d8ca4fb7cc16bd384777c7f8e190d7bda9ff0bbbcbc103f006c405a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03649",
    "kind": "arxiv",
    "version": 1
  }
}