Pith Number

pith:CMF6QX52

pith:2011:CMF6QX52ILLZRJS5OKKRN5XE55

not attested not anchored not stored refs pending

Spin(7)-manifolds with three-torus symmetry

Thomas Bruun Madsen

arxiv:1104.3089 v1 · 2011-04-15 · math.DG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMF6QX52ILLZRJS5OKKRN5XE55}

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	2026-05-18T04:12:02.058370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

130be85fba42d798a65d729516f6e4ef75af41c8b226b731308d5387ae8f851a

Aliases

arxiv: 1104.3089 · arxiv_version: 1104.3089v1 · doi: 10.48550/arxiv.1104.3089 · pith_short_12: CMF6QX52ILLZ · pith_short_16: CMF6QX52ILLZRJS5 · pith_short_8: CMF6QX52

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/CMF6QX52ILLZRJS5OKKRN5XE55 \
  | 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: 130be85fba42d798a65d729516f6e4ef75af41c8b226b731308d5387ae8f851a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c672b5934f8ffd119053bb2c44687be2d6a4c30b87d1edb6896a82f24859c16e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-15T15:33:20Z",
    "title_canon_sha256": "257660a0d3ce21f30346ce132096dbdc2e7dec524f38a039a9c93e4c8c5c6384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3089",
    "kind": "arxiv",
    "version": 1
  }
}