Pith Number

pith:C3SM4NPH

pith:2008:C3SM4NPH7JJNS7JNLTIGYERHTO

not attested not anchored not stored refs pending

Series expansions in Fr\'echet spaces and their duals; construction of Fr\'echet frames

Diana T. Stoeva, Stevan Pilipovi\'c

arxiv:0809.4647 v1 · 2008-09-26 · 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{C3SM4NPH7JJNS7JNLTIGYERHTO}

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	2026-05-18T03:53:32.142074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16e4ce35e7fa52d97d2d5cd06c12279b9ee4b74a60f7b77e3532cb753bc46df9

Aliases

arxiv: 0809.4647 · arxiv_version: 0809.4647v1 · doi: 10.48550/arxiv.0809.4647 · pith_short_12: C3SM4NPH7JJN · pith_short_16: C3SM4NPH7JJNS7JN · pith_short_8: C3SM4NPH

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/C3SM4NPH7JJNS7JNLTIGYERHTO \
  | 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: 16e4ce35e7fa52d97d2d5cd06c12279b9ee4b74a60f7b77e3532cb753bc46df9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d59a85862b8e01147df36a2855972c2b8accb76e7cc7b6e18ec153004003da8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-09-26T14:35:54Z",
    "title_canon_sha256": "765a205ca3b0c3f324428e0a9c33b48ad2a001c4753ca18b6d2eda117cf4e7ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4647",
    "kind": "arxiv",
    "version": 1
  }
}