Pith Number

pith:BODOZCA5

pith:2015:BODOZCA52MAZKINKHKCQUAHEW7

not attested not anchored not stored refs pending

On mapping theorems for numerical range

Hubert Klaja, Javad Mashreghi, Thomas Ransford

arxiv:1510.08132 v1 · 2015-10-27 · 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{BODOZCA52MAZKINKHKCQUAHEW7}

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	2026-05-18T01:28:37.272799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b86ec881dd3019521aa3a850a00e4b7fe0a3428054cff5791f9bc85549034ed

Aliases

arxiv: 1510.08132 · arxiv_version: 1510.08132v1 · doi: 10.48550/arxiv.1510.08132 · pith_short_12: BODOZCA52MAZ · pith_short_16: BODOZCA52MAZKINK · pith_short_8: BODOZCA5

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/BODOZCA52MAZKINKHKCQUAHEW7 \
  | 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: 0b86ec881dd3019521aa3a850a00e4b7fe0a3428054cff5791f9bc85549034ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18a1635479087944bbfb1b211c6d49f2199612551414a94aa5a1131b7037d49d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-27T23:41:35Z",
    "title_canon_sha256": "c27f71eed2a8a18786e3f424354f7e7e45317f85fb6326381242a2798d19d852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08132",
    "kind": "arxiv",
    "version": 1
  }
}