Pith Number

pith:35XAP2BK

pith:2005:35XAP2BKAGFWVXYBIALHJAMGY5

not attested not anchored not stored refs pending

Polar actions on symmetric spaces

Andreas Kollross

arxiv:math/0506312 v2 · 2005-06-15 · 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{35XAP2BKAGFWVXYBIALHJAMGY5}

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	2026-05-18T04:31:50.709280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df6e07e82a018b6adf014016748186c7783fa3f520b9e5bfed134ff6a1ef9e1b

Aliases

arxiv: math/0506312 · arxiv_version: math/0506312v2 · doi: 10.48550/arxiv.math/0506312 · pith_short_12: 35XAP2BKAGFW · pith_short_16: 35XAP2BKAGFWVXYB · pith_short_8: 35XAP2BK

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/35XAP2BKAGFWVXYBIALHJAMGY5 \
  | 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: df6e07e82a018b6adf014016748186c7783fa3f520b9e5bfed134ff6a1ef9e1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a514069752fa0fca26d09bd4cbf4ff4b312d049f05a601a1c31ec33085b3b243",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-06-15T16:00:55Z",
    "title_canon_sha256": "ada6d6119ecd7bb28912db09514cca6e37d9d32e02d7a9036d466a719f9dcf04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506312",
    "kind": "arxiv",
    "version": 2
  }
}