Pith Number

pith:GORBAEDR

pith:2025:GORBAEDRM5DGCJ2YPP3PT3YL74

not attested not anchored not stored refs pending

On periodic families in the stable stems of height two

Christian Carrick, Jack Morgan Davies

arxiv:2506.20507 v2 · 2025-06-25 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GORBAEDRM5DGCJ2YPP3PT3YL74}

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	2026-07-05T12:05:18.058896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33a210107167466127587bf6f9ef0bff16597887384f64b38713712b0d2c2e75

Aliases

arxiv: 2506.20507 · arxiv_version: 2506.20507v2 · doi: 10.48550/arxiv.2506.20507 · pith_short_12: GORBAEDRM5DG · pith_short_16: GORBAEDRM5DGCJ2Y · pith_short_8: GORBAEDR

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/GORBAEDRM5DGCJ2YPP3PT3YL74 \
  | 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: 33a210107167466127587bf6f9ef0bff16597887384f64b38713712b0d2c2e75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88453ff9d13808cd779689152b567fa464069cb431cf151232fb9f42a576cdc0",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-06-25T14:53:17Z",
    "title_canon_sha256": "3b0eed99ce608ed5fe552fa585b7b664fc120cfc4a7561bbc494543b2a0f20b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.20507",
    "kind": "arxiv",
    "version": 2
  }
}