Pith Number

pith:EUUGPWEN

pith:2011:EUUGPWEN7X6564B2HYEOIRMDHD

not attested not anchored not stored refs pending

Resolvent Positive Linear Operators Exhibit the Reduction Phenomenon

Lee Altenberg

arxiv:1108.4546 v3 · 2011-08-23 · math.SP · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EUUGPWEN7X6564B2HYEOIRMDHD}

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	2026-05-18T03:34:59.731909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

252867d88dfdfddf703a3e08e4458338dc112bdde6335071842bc989752ec589

Aliases

arxiv: 1108.4546 · arxiv_version: 1108.4546v3 · doi: 10.48550/arxiv.1108.4546 · pith_short_12: EUUGPWEN7X65 · pith_short_16: EUUGPWEN7X6564B2 · pith_short_8: EUUGPWEN

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/EUUGPWEN7X6564B2HYEOIRMDHD \
  | 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: 252867d88dfdfddf703a3e08e4458338dc112bdde6335071842bc989752ec589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be0ca7e12197dc9039625a0fbb532cb42e81ec3115c44e8bfc4202835085ee08",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-08-23T10:37:09Z",
    "title_canon_sha256": "8d4e662ee11c87ccf2d2e13314320519a4e127dbcb4050ff82a060f6fca955bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4546",
    "kind": "arxiv",
    "version": 3
  }
}