Pith Number

pith:IAE6JYYQ

pith:2012:IAE6JYYQCA3A3GLM23LVWDJ4DG

not attested not anchored not stored refs pending

On embeddings of spaces of bivariate functions of bounded $p$-variation

Martin Lind

arxiv:1208.4936 v1 · 2012-08-24 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IAE6JYYQCA3A3GLM23LVWDJ4DG}

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	2026-05-18T03:47:52.208607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4009e4e31010360d996cd6d75b0d3c1983a661aeb2f2ed41e1be51fff41b592c

Aliases

arxiv: 1208.4936 · arxiv_version: 1208.4936v1 · doi: 10.48550/arxiv.1208.4936 · pith_short_12: IAE6JYYQCA3A · pith_short_16: IAE6JYYQCA3A3GLM · pith_short_8: IAE6JYYQ

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/IAE6JYYQCA3A3GLM23LVWDJ4DG \
  | 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: 4009e4e31010360d996cd6d75b0d3c1983a661aeb2f2ed41e1be51fff41b592c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba967f816195c20967ec549b7d25b18484762c4f4db656fc4ca8216f6081ea73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-08-24T09:24:55Z",
    "title_canon_sha256": "4d35af4d39b4b723814c1fdac127a5091906610dcdd8889111923ca776dd6516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4936",
    "kind": "arxiv",
    "version": 1
  }
}