Pith Number

pith:PNL5STAI

pith:2002:PNL5STAIGMACKO6577RHYSRMH3

not attested not anchored not stored refs pending

An introduction to symmetric spaces

Ulrika Magnea

arxiv:cond-mat/0205288 v1 · 2002-05-14 · cond-mat · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNL5STAIGMACKO6577RHYSRMH3}

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.

Cited by

1 paper in Pith

Classical shadows over symmetric spaces

Receipt and verification

First computed	2026-07-04T14:19:07.236082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b57d94c083300253bddffe27c4a2c3ecca8f7005d2e1826815036a68396b280

Aliases

arxiv: cond-mat/0205288 · arxiv_version: cond-mat/0205288v1 · doi: 10.48550/arxiv.cond-mat/0205288 · pith_short_12: PNL5STAIGMAC · pith_short_16: PNL5STAIGMACKO65 · pith_short_8: PNL5STAI

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/PNL5STAIGMACKO6577RHYSRMH3 \
  | 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: 7b57d94c083300253bddffe27c4a2c3ecca8f7005d2e1826815036a68396b280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5792ffc05a4dedbdc6f684565d16527fbc34fca268a4b1645b902d989e8a8045",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "2002-05-14T13:17:02Z",
    "title_canon_sha256": "4162029558920a6f772f4fc39f8d1f996f08b13936cb9908013c7a8cb842b81d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0205288",
    "kind": "arxiv",
    "version": 1
  }
}