Pith Number

pith:SXSKFDCE

pith:2026:SXSKFDCEACDYTE6WR6ROL3RNH7

not attested not anchored not stored refs pending

The fusion-stable tom Dieck homomorphism

Sam K. Miller

arxiv:2608.12499 v1 · 2026-08-12 · math.GR · math.AT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SXSKFDCEACDYTE6WR6ROL3RNH7}

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	2026-08-14T00:44:03.650091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95e4a28c4400878993d68fa2e5ee2d3fde3924ed799b193ddeb00fbd1ff2a2ab

Aliases

arxiv: 2608.12499 · arxiv_version: 2608.12499v1 · doi: 10.48550/arxiv.2608.12499 · pith_short_12: SXSKFDCEACDY · pith_short_16: SXSKFDCEACDYTE6W · pith_short_8: SXSKFDCE

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/SXSKFDCEACDYTE6WR6ROL3RNH7 \
  | 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: 95e4a28c4400878993d68fa2e5ee2d3fde3924ed799b193ddeb00fbd1ff2a2ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "197d74bb22f6b3523855b894b715b4d2a2e38948765abcbec6e7c4363ffe2aec",
    "cross_cats_sorted": [
      "math.AT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-08-12T18:24:54Z",
    "title_canon_sha256": "213e4c94262be875ca3e8b07ca3eed03ce3b8d09575e2b25f5527d2806c2aaa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12499",
    "kind": "arxiv",
    "version": 1
  }
}