Pith Number

pith:DCG7X7E6

pith:2018:DCG7X7E6LXOCOHJLB4IB2MAJVI

not attested not anchored not stored refs pending

Bloch functions on the unit ball of a Banach space

Alejandro Miralles

arxiv:1802.08098 v1 · 2018-02-22 · 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{DCG7X7E6LXOCOHJLB4IB2MAJVI}

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	2026-05-18T00:22:45.540704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

188dfbfc9e5ddc271d2b0f101d3009aa180c7f6693b88543981a84c8680d4413

Aliases

arxiv: 1802.08098 · arxiv_version: 1802.08098v1 · doi: 10.48550/arxiv.1802.08098 · pith_short_12: DCG7X7E6LXOC · pith_short_16: DCG7X7E6LXOCOHJL · pith_short_8: DCG7X7E6

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/DCG7X7E6LXOCOHJLB4IB2MAJVI \
  | 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: 188dfbfc9e5ddc271d2b0f101d3009aa180c7f6693b88543981a84c8680d4413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f51924ebfc306352ff355c5c78cbffed67e7dbe172483ab6f9c20baf01d5073e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-22T15:25:50Z",
    "title_canon_sha256": "fd9c95484964872008c802a548831cf22a7c3e4be2e850c8dd51f34a8b509321"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08098",
    "kind": "arxiv",
    "version": 1
  }
}