Pith Number

pith:ZFURKKKF

pith:2010:ZFURKKKFMVXEVW4ZVARQV3AJFE

not attested not anchored not stored refs pending

A new and simple proof of Schauder's theorem

Volker Runde

arxiv:1010.1298 v4 · 2010-10-06 · 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{ZFURKKKFMVXEVW4ZVARQV3AJFE}

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	2026-05-18T04:27:06.552171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c969152945656e4adb99a8230aec09290e3eef57fbaa4f530ce27f965bcf0811

Aliases

arxiv: 1010.1298 · arxiv_version: 1010.1298v4 · doi: 10.48550/arxiv.1010.1298 · pith_short_12: ZFURKKKFMVXE · pith_short_16: ZFURKKKFMVXEVW4Z · pith_short_8: ZFURKKKF

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/ZFURKKKFMVXEVW4ZVARQV3AJFE \
  | 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: c969152945656e4adb99a8230aec09290e3eef57fbaa4f530ce27f965bcf0811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e896b98a8c6fc138187a339a05e13ab9ba8bead6c15f349cc0be638e78114eab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-10-06T23:08:41Z",
    "title_canon_sha256": "8b9927074f71a83382ecf0b39326183a039cccbb61ca0cd66eb1d2d37a61e45c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1298",
    "kind": "arxiv",
    "version": 4
  }
}