Pith Number

pith:XSD7HFX4

pith:2026:XSD7HFX4DRRYKRXJJBEPPZP36Y

not attested not anchored not stored refs pending

The Redshift Bound from Quillen-Lichtenbaum

Shay Ben-Moshe

arxiv:2608.02180 v1 · 2026-08-03 · math.KT · 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{XSD7HFX4DRRYKRXJJBEPPZP36Y}

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	2026-08-04T02:11:19.215089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc87f396fc1c638546e94848f7e5fbf61fa4ba1de21a980a4d7d425cdbf32fd7

Aliases

arxiv: 2608.02180 · arxiv_version: 2608.02180v1 · doi: 10.48550/arxiv.2608.02180 · pith_short_12: XSD7HFX4DRRY · pith_short_16: XSD7HFX4DRRYKRXJ · pith_short_8: XSD7HFX4

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/XSD7HFX4DRRYKRXJJBEPPZP36Y \
  | 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: bc87f396fc1c638546e94848f7e5fbf61fa4ba1de21a980a4d7d425cdbf32fd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "412a254e2f10dc81a41a73faa1db067dc7d41fd6cb55af5ef6f797c2a5564d28",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2026-08-03T13:01:46Z",
    "title_canon_sha256": "25034f5ff24fcc0af3d3ec65b18f5f820ec93c446335ad33841835100c29e233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02180",
    "kind": "arxiv",
    "version": 1
  }
}