Pith Number

pith:NQUIUS5T

pith:2016:NQUIUS5TNVXYXXG5TUCJ7YS4OT

not attested not anchored not stored refs pending

New Moduli for Banach Spaces

Grigiry Ivanov, Horst Martini

arxiv:1609.01587 v1 · 2016-09-06 · 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{NQUIUS5TNVXYXXG5TUCJ7YS4OT}

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	2026-05-18T00:32:44.348296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c288a4bb36d6f8bdcdd9d049fe25c74c1d700a591dfc0536e53787aa4dda61a

Aliases

arxiv: 1609.01587 · arxiv_version: 1609.01587v1 · doi: 10.48550/arxiv.1609.01587 · pith_short_12: NQUIUS5TNVXY · pith_short_16: NQUIUS5TNVXYXXG5 · pith_short_8: NQUIUS5T

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/NQUIUS5TNVXYXXG5TUCJ7YS4OT \
  | 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: 6c288a4bb36d6f8bdcdd9d049fe25c74c1d700a591dfc0536e53787aa4dda61a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e5195fbad5fe91186b0b77790e546eabef963209984a0bc5aaf5e8f73ef9d17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-06T14:57:29Z",
    "title_canon_sha256": "ad46d16e2f1be66b935ca91976982539760e69bfcb9dca3ac9fbd33bc0cc3dcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01587",
    "kind": "arxiv",
    "version": 1
  }
}