Pith Number

pith:MFR2CNRG

pith:2008:MFR2CNRGXQTNUBGLP3WHII4MAX

not attested not anchored not stored refs pending

Contractively complemented subspaces of pre-symmetric spaces

Bernard Russo, Matthew Neal

arxiv:0802.0734 v1 · 2008-02-06 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFR2CNRGXQTNUBGLP3WHII4MAX}

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	2026-05-18T01:24:38.950235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6163a13626bc26da04cb7eec74238c05e9aae530c23ba11108765c7862c044ae

Aliases

arxiv: 0802.0734 · arxiv_version: 0802.0734v1 · doi: 10.48550/arxiv.0802.0734 · pith_short_12: MFR2CNRGXQTN · pith_short_16: MFR2CNRGXQTNUBGL · pith_short_8: MFR2CNRG

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/MFR2CNRGXQTNUBGLP3WHII4MAX \
  | 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: 6163a13626bc26da04cb7eec74238c05e9aae530c23ba11108765c7862c044ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f085f693c6936f93da7063365609e99fe2d1179dfe0a0e4a7a80c546b6f31c78",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-02-06T04:16:30Z",
    "title_canon_sha256": "4af4aa70095a017136255cf57eae943400619fbdd14fadc6ba1f0abaed2de8ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.0734",
    "kind": "arxiv",
    "version": 1
  }
}