Pith Number

pith:OMRJGNG5

pith:2019:OMRJGNG5A4VS4SA3SGPFHIOCDG

not attested not anchored not stored refs pending

A Gleason-Kahane-\.Zelazko theorem for the Dirichlet space

Javad Mashreghi, Julian Ransford, Thomas Ransford

arxiv:1902.04225 v1 · 2019-02-12 · 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{OMRJGNG5A4VS4SA3SGPFHIOCDG}

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	2026-05-17T23:54:12.798919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73229334dd072b2e481b919e53a1c2199fa248b2d1f637800686cf725356c5b4

Aliases

arxiv: 1902.04225 · arxiv_version: 1902.04225v1 · doi: 10.48550/arxiv.1902.04225 · pith_short_12: OMRJGNG5A4VS · pith_short_16: OMRJGNG5A4VS4SA3 · pith_short_8: OMRJGNG5

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/OMRJGNG5A4VS4SA3SGPFHIOCDG \
  | 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: 73229334dd072b2e481b919e53a1c2199fa248b2d1f637800686cf725356c5b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4123a8a1f4b032ffadc61b34b4a6fca1d623aff9a590febd6482103fed69f79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-02-12T03:28:45Z",
    "title_canon_sha256": "fe34e689535ef81afbc1562b26cc88d8a3560580c8f363e0721cc08c0fa37c79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04225",
    "kind": "arxiv",
    "version": 1
  }
}