Pith Number

pith:HESJJ5QF

pith:2018:HESJJ5QFCV2QGHW3ZPLB6ETICV

not attested not anchored not stored refs pending

A Local Hahn-Banach Theorem and Its Applications

Denny H. Leung, Foivos Xanthos, Niushan Gao

arxiv:1809.01795 v1 · 2018-09-06 · 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{HESJJ5QFCV2QGHW3ZPLB6ETICV}

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	2026-05-18T00:06:21.895647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

392494f6051575031edbcbd61f1268155c2883800d280991832cae31a9e68dd5

Aliases

arxiv: 1809.01795 · arxiv_version: 1809.01795v1 · doi: 10.48550/arxiv.1809.01795 · pith_short_12: HESJJ5QFCV2Q · pith_short_16: HESJJ5QFCV2QGHW3 · pith_short_8: HESJJ5QF

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/HESJJ5QFCV2QGHW3ZPLB6ETICV \
  | 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: 392494f6051575031edbcbd61f1268155c2883800d280991832cae31a9e68dd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73d51ea6574a09cafb5a5a0e388d00c093418ef427ecf5ebdbb3e845e61113da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-06T02:52:21Z",
    "title_canon_sha256": "9b169151902e14b5907ec2becd5fcfe2d8172ebb71ed23ff74e6b2f4314bd1bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01795",
    "kind": "arxiv",
    "version": 1
  }
}