Pith Number

pith:FR7KZI2M

pith:2017:FR7KZI2MJZNSTL5ZUS5HVJ5U55

not attested not anchored not stored refs pending

A pointwise bipolar theorem

Daniel Bartl, Michael Kupper

arxiv:1702.02490 v2 · 2017-02-08 · 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{FR7KZI2MJZNSTL5ZUS5HVJ5U55}

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	2026-05-17T23:54:26.894048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c7eaca34c4e5b29afb9a4ba7aa7b4ef6b5f5ab247232257dca1f92c8c8949b7

Aliases

arxiv: 1702.02490 · arxiv_version: 1702.02490v2 · doi: 10.48550/arxiv.1702.02490 · pith_short_12: FR7KZI2MJZNS · pith_short_16: FR7KZI2MJZNSTL5Z · pith_short_8: FR7KZI2M

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/FR7KZI2MJZNSTL5ZUS5HVJ5U55 \
  | 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: 2c7eaca34c4e5b29afb9a4ba7aa7b4ef6b5f5ab247232257dca1f92c8c8949b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c75f3c0103ecb2c4a007c01151105ac9d74029b82f22563ae84241d7ae837821",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-08T16:09:48Z",
    "title_canon_sha256": "36e9f921550cc8365fef2e780273f5a1c5c793033747a9e6d887894de236a867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02490",
    "kind": "arxiv",
    "version": 2
  }
}