Pith Number

pith:YAJIGGVS

pith:2016:YAJIGGVSURJZTDWZPLFNALD4GN

not attested not anchored not stored refs pending

The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions

Theo Johnson-Freyd

arxiv:1603.06603 v3 · 2016-03-21 · math.SG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YAJIGGVSURJZTDWZPLFNALD4GN}

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	2026-05-18T00:55:25.220973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c012831ab2a453998ed97acad02c7c3372a1d797b5cf9a34e62703ff8682aaa1

Aliases

arxiv: 1603.06603 · arxiv_version: 1603.06603v3 · doi: 10.48550/arxiv.1603.06603 · pith_short_12: YAJIGGVSURJZ · pith_short_16: YAJIGGVSURJZTDWZ · pith_short_8: YAJIGGVS

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/YAJIGGVSURJZTDWZPLFNALD4GN \
  | 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: c012831ab2a453998ed97acad02c7c3372a1d797b5cf9a34e62703ff8682aaa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22d033a6a92084844e874a9d6f6fd51cbf080d42dd65463b850304686d2a55b8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-03-21T20:28:49Z",
    "title_canon_sha256": "2ad2001e3da7ff4cabf09a57d54b5afaf9f4b357749bf55a401a8840b32b43e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06603",
    "kind": "arxiv",
    "version": 3
  }
}