Pith Number

pith:RLEWM5XL

pith:2026:RLEWM5XLTIMZPE36WZ22SXIHXX

not attested not anchored not stored refs pending

Bond thickenings of the simplicial boundary of Outer space

Benjamin Br\"uck

arxiv:2608.04456 v1 · 2026-08-05 · math.AT · math.CO · math.GR · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLEWM5XLTIMZPE36WZ22SXIHXX}

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	2026-08-06T01:35:30.948462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ac96676eb9a1997937eb675a95d07bde4b13f723f43dfe869ce6a036fcb96dd

Aliases

arxiv: 2608.04456 · arxiv_version: 2608.04456v1 · doi: 10.48550/arxiv.2608.04456 · pith_short_12: RLEWM5XLTIMZ · pith_short_16: RLEWM5XLTIMZPE36 · pith_short_8: RLEWM5XL

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/RLEWM5XLTIMZPE36WZ22SXIHXX \
  | 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: 8ac96676eb9a1997937eb675a95d07bde4b13f723f43dfe869ce6a036fcb96dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b07b0536e53415b8b1c4f9d5f0eaa49835c500a75df7320b6fb806fe536c3c2f",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-08-05T05:26:04Z",
    "title_canon_sha256": "920a11d1eed6148cddf90172724a4a81748c2590b584895105475e04342458ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04456",
    "kind": "arxiv",
    "version": 1
  }
}