Pith Number

pith:FVIPLWB5

pith:2017:FVIPLWB52LLV6SGD52YIQVEA4C

not attested not anchored not stored refs pending

Free bianalytic maps between spectrahedra and spectraballs in a generic setting

Igor Klep, J. William Helton, Meric Augat, Scott McCullough

arxiv:1711.09459 v4 · 2017-11-26 · 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{FVIPLWB52LLV6SGD52YIQVEA4C}

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	2026-05-17T23:41:13.388691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d50f5d83dd2d75f48c3eeb0885480e086735b3a58b1498f740a32da89441e29

Aliases

arxiv: 1711.09459 · arxiv_version: 1711.09459v4 · doi: 10.48550/arxiv.1711.09459 · pith_short_12: FVIPLWB52LLV · pith_short_16: FVIPLWB52LLV6SGD · pith_short_8: FVIPLWB5

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/FVIPLWB52LLV6SGD52YIQVEA4C \
  | 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: 2d50f5d83dd2d75f48c3eeb0885480e086735b3a58b1498f740a32da89441e29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "304f4c2405e9273fb048ee01343cb881150a6d32169656e25f47b9c83130048c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-26T21:04:00Z",
    "title_canon_sha256": "1ea2631b0b3784fcc34ebd3e36deadf55b27e7d65d7fbe255a0f21416ad2e58a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09459",
    "kind": "arxiv",
    "version": 4
  }
}