Pith Number

pith:K5N3T7I4

pith:2017:K5N3T7I4Z2O2H4NXADFW4OSQWQ

not attested not anchored not stored refs pending

Asymptotic properties of Banach spaces and coarse quotient maps

Sheng Zhang

arxiv:1705.10207 v2 · 2017-05-29 · 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{K5N3T7I4Z2O2H4NXADFW4OSQWQ}

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	2026-05-18T00:34:29.128850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

575bb9fd1cce9da3f1b700cb6e3a50b425d77af9298549e467d69750279c48d9

Aliases

arxiv: 1705.10207 · arxiv_version: 1705.10207v2 · doi: 10.48550/arxiv.1705.10207 · pith_short_12: K5N3T7I4Z2O2 · pith_short_16: K5N3T7I4Z2O2H4NX · pith_short_8: K5N3T7I4

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/K5N3T7I4Z2O2H4NXADFW4OSQWQ \
  | 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: 575bb9fd1cce9da3f1b700cb6e3a50b425d77af9298549e467d69750279c48d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8b078d4a01ff1e1cb634ffab7a34a6e4a844f7b9bb2a257e247848ded970459",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-29T14:16:36Z",
    "title_canon_sha256": "a27508d7ddbbe119c147043f22a74c082ab2588ca0b0a2aa1e6b9d38f9ed7a30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10207",
    "kind": "arxiv",
    "version": 2
  }
}