Pith Number

pith:7Y2LRSJT

pith:2019:7Y2LRSJTL6ZEBSAOZQOGOY2655

not attested not anchored not stored refs pending

Outer functions and divergence in de Branges-Rovnyak spaces

Javad Mashreghi, Thomas Ransford

arxiv:1902.05916 v1 · 2019-02-15 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Y2LRSJTL6ZEBSAOZQOGOY2655}

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	2026-05-17T23:53:55.124023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe34b8c9335fb240c80ecc1c67635eef555d8398ede3b91e1b1618d30109aeba

Aliases

arxiv: 1902.05916 · arxiv_version: 1902.05916v1 · doi: 10.48550/arxiv.1902.05916 · pith_short_12: 7Y2LRSJTL6ZE · pith_short_16: 7Y2LRSJTL6ZEBSAO · pith_short_8: 7Y2LRSJT

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/7Y2LRSJTL6ZEBSAOZQOGOY2655 \
  | 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: fe34b8c9335fb240c80ecc1c67635eef555d8398ede3b91e1b1618d30109aeba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccd8630b3d6df27b13e819e13dc60d361d284bee42d399c188f04a75fc9601b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-02-15T18:00:14Z",
    "title_canon_sha256": "81a91e85428f8d81a8cc0682a6b787e06e39e49aac971a78486e4721dc0346ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05916",
    "kind": "arxiv",
    "version": 1
  }
}