Pith Number

pith:7MUED4V5

pith:2011:7MUED4V5W3YZJ4ZUGWQV5FKGTW

not attested not anchored not stored refs pending

Duality of symmetric spaces and polar actions

Andreas Kollross

arxiv:1101.1675 v2 · 2011-01-09 · 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{7MUED4V5W3YZJ4ZUGWQV5FKGTW}

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	2026-05-18T04:22:10.201644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb2841f2bdb6f194f33435a15e95469da707754991e48cb2d8a0f8fe001a7833

Aliases

arxiv: 1101.1675 · arxiv_version: 1101.1675v2 · doi: 10.48550/arxiv.1101.1675 · pith_short_12: 7MUED4V5W3YZ · pith_short_16: 7MUED4V5W3YZJ4ZU · pith_short_8: 7MUED4V5

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/7MUED4V5W3YZJ4ZUGWQV5FKGTW \
  | 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: fb2841f2bdb6f194f33435a15e95469da707754991e48cb2d8a0f8fe001a7833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6106d45bb71040547bf87ba5153f9311e6064bb373b6db018addbfc4a4c65c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-01-09T21:16:10Z",
    "title_canon_sha256": "18b288ec7f951b46ee1be1dd3dc74c5e0c25bf5e9dc06f7077cea1f101b40c80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1675",
    "kind": "arxiv",
    "version": 2
  }
}