Pith Number

pith:ASA3RXOC

pith:2018:ASA3RXOCAKUHQ52T3NAL2VPXA3

not attested not anchored not stored refs pending

Frame potential for finite-dimensional Banach spaces

D. Freeman, J.A. Ch\'avez-Dom\'inguez, K. Kornelson

arxiv:1804.03677 v1 · 2018-04-10 · 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{ASA3RXOCAKUHQ52T3NAL2VPXA3}

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	2026-05-18T00:18:45.346813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0481b8ddc202a8787753db40bd55f706e8071d0dc0755f003b789d3659a1f7cf

Aliases

arxiv: 1804.03677 · arxiv_version: 1804.03677v1 · doi: 10.48550/arxiv.1804.03677 · pith_short_12: ASA3RXOCAKUH · pith_short_16: ASA3RXOCAKUHQ52T · pith_short_8: ASA3RXOC

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/ASA3RXOCAKUHQ52T3NAL2VPXA3 \
  | 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: 0481b8ddc202a8787753db40bd55f706e8071d0dc0755f003b789d3659a1f7cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7219aae328d9d42640c9bb6a21c9fe96b6e7ae2779e5eba8a87856c9f909237c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-10T18:23:08Z",
    "title_canon_sha256": "d7d9dbe09e16c85bd23b294ddf22a5b619cc7ae5e92fcd51e01b982c24954160"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03677",
    "kind": "arxiv",
    "version": 1
  }
}