Pith Number

pith:LB34FHHW

pith:2011:LB34FHHWQQELV5EQ3CZCAXRLMJ

not attested not anchored not stored refs pending

Bott periodicity for inclusions of symmetric spaces

Augustin-Liviu Mare, Peter Quast

arxiv:1108.0954 v2 · 2011-08-03 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LB34FHHWQQELV5EQ3CZCAXRLMJ}

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	2026-05-18T03:58:14.081554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5877c29cf68408baf490d8b2205e2b62488d366152a1c5855091819fff554ba5

Aliases

arxiv: 1108.0954 · arxiv_version: 1108.0954v2 · doi: 10.48550/arxiv.1108.0954 · pith_short_12: LB34FHHWQQEL · pith_short_16: LB34FHHWQQELV5EQ · pith_short_8: LB34FHHW

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/LB34FHHWQQELV5EQ3CZCAXRLMJ \
  | 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: 5877c29cf68408baf490d8b2205e2b62488d366152a1c5855091819fff554ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2786896b56b4114a3580e9f315c5aa9777070f6248f8fef024fe0d067495c440",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-03T22:49:20Z",
    "title_canon_sha256": "4ac90172faff78e6f05e184fca9aecdda5d92d3cb4202054b69f4cf480e73284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0954",
    "kind": "arxiv",
    "version": 2
  }
}