Pith Number

pith:V22I7LJC

pith:2013:V22I7LJC2PWLCA2CGXCDTWDS7H

not attested not anchored not stored refs pending

Linear maps preserving the dimension of fixed points of operators

Ali Taghavi, Roja Hosseinzadeh

arxiv:1309.3429 v1 · 2013-09-13 · 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{V22I7LJC2PWLCA2CGXCDTWDS7H}

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	2026-05-18T00:56:53.738617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeb48fad22d3ecb1034235c439d872f9d261b02f90a989bf7491fafa569f87d9

Aliases

arxiv: 1309.3429 · arxiv_version: 1309.3429v1 · doi: 10.48550/arxiv.1309.3429 · pith_short_12: V22I7LJC2PWL · pith_short_16: V22I7LJC2PWLCA2C · pith_short_8: V22I7LJC

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/V22I7LJC2PWLCA2CGXCDTWDS7H \
  | 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: aeb48fad22d3ecb1034235c439d872f9d261b02f90a989bf7491fafa569f87d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35a3ac58a528257f2994b953a55a6e442f59a005bf4b746463b55a7a62ace897",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-13T12:09:54Z",
    "title_canon_sha256": "bb389168b827226b4759719ff9b0148d4693bfa82b683e3d5e15b54ccb1ab10f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3429",
    "kind": "arxiv",
    "version": 1
  }
}