Pith Number

pith:6COU5TU3

pith:2016:6COU5TU3ZJYU57B54W2SNK3TS3

not attested not anchored not stored refs pending

On Properties of Geometric Preduals of ${\mathbf C^{k,\omega}}$ Spaces

Alexander Brudnyi

arxiv:1607.04824 v1 · 2016-07-17 · 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{6COU5TU3ZJYU57B54W2SNK3TS3}

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	2026-05-18T01:10:56.542230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f09d4ece9bca714efc3de5b526ab7396ff6ddecd8d35b056d1bdec9b173a7834

Aliases

arxiv: 1607.04824 · arxiv_version: 1607.04824v1 · doi: 10.48550/arxiv.1607.04824 · pith_short_12: 6COU5TU3ZJYU · pith_short_16: 6COU5TU3ZJYU57B5 · pith_short_8: 6COU5TU3

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/6COU5TU3ZJYU57B54W2SNK3TS3 \
  | 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: f09d4ece9bca714efc3de5b526ab7396ff6ddecd8d35b056d1bdec9b173a7834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c09366875ec786445271ac5dcac4a9314668d25fc8712bc76a9c01a9516681b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-17T03:27:56Z",
    "title_canon_sha256": "718fc4db54e3eeba0a5c4a019585c7e39a377ea056e203ee765e57ffc8aef98c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04824",
    "kind": "arxiv",
    "version": 1
  }
}