Pith Number

pith:4ZHGTNUM

pith:2016:4ZHGTNUM35445IALLTAMWCOUFX

not attested not anchored not stored refs pending

Involutions in the topologists' orthogonal group

Daniel Dugger

arxiv:1612.08487 v1 · 2016-12-27 · math.GR · 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{4ZHGTNUM35445IALLTAMWCOUFX}

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	2026-05-18T00:53:52.874585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e64e69b68cdf79cea00b5cc0cb09d42dc25c5a427e3e94a9f7bddda2781f7c95

Aliases

arxiv: 1612.08487 · arxiv_version: 1612.08487v1 · doi: 10.48550/arxiv.1612.08487 · pith_short_12: 4ZHGTNUM3544 · pith_short_16: 4ZHGTNUM35445IAL · pith_short_8: 4ZHGTNUM

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/4ZHGTNUM35445IALLTAMWCOUFX \
  | 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: e64e69b68cdf79cea00b5cc0cb09d42dc25c5a427e3e94a9f7bddda2781f7c95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ba47e7386754baf739de03798632eb365490e624a6298e050f30d86c8d960c",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-12-27T03:27:47Z",
    "title_canon_sha256": "83c42f7efaeb381bdbdbac5df86c59127994adf95ab9ba58a1eb75ead640637f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08487",
    "kind": "arxiv",
    "version": 1
  }
}