Pith Number

pith:DY5YP5RE

pith:2021:DY5YP5REGC7NOXPWMEAP3PKFHU

not attested not anchored not stored refs pending

Mixed-norm Amalgam Spaces

Houkun Zhang, Jiang Zhou

arxiv:2110.01197 v1 · 2021-10-04 · 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{DY5YP5REGC7NOXPWMEAP3PKFHU}

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	2026-07-05T03:19:52.843541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e3b87f62430bed75df66100fdbd453d357eac81d4402911bcb24d890b2b949f

Aliases

arxiv: 2110.01197 · arxiv_version: 2110.01197v1 · doi: 10.48550/arxiv.2110.01197 · pith_short_12: DY5YP5REGC7N · pith_short_16: DY5YP5REGC7NOXPW · pith_short_8: DY5YP5RE

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/DY5YP5REGC7NOXPWMEAP3PKFHU \
  | 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: 1e3b87f62430bed75df66100fdbd453d357eac81d4402911bcb24d890b2b949f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "013afb8692f1c566ade2e798480d163fbdba71fce61926ded45beeba62a25589",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-10-04T05:29:57Z",
    "title_canon_sha256": "3071a2eebe62a1bfc4b814589fd523ab20e11686e3a508b36bda54d8dcca5847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.01197",
    "kind": "arxiv",
    "version": 1
  }
}