Pith Number

pith:N5QJWPFE

pith:2009:N5QJWPFEBKYXBWQGDV35XAU2TO

not attested not anchored not stored refs pending

Definable versions of theorems by Kirszbraun and Helly

Andreas Fischer, Matthias Aschenbrenner

arxiv:0906.1168 v2 · 2009-06-05 · math.LO · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N5QJWPFEBKYXBWQGDV35XAU2TO}

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	2026-05-18T02:58:03.121364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f609b3ca40ab170da061d77db829a9b88014d4441fcd14139afa4140cd2eaea

Aliases

arxiv: 0906.1168 · arxiv_version: 0906.1168v2 · doi: 10.48550/arxiv.0906.1168 · pith_short_12: N5QJWPFEBKYX · pith_short_16: N5QJWPFEBKYXBWQG · pith_short_8: N5QJWPFE

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/N5QJWPFEBKYXBWQGDV35XAU2TO \
  | 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: 6f609b3ca40ab170da061d77db829a9b88014d4441fcd14139afa4140cd2eaea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d5eb63ad1a91503cbbccbfa63829e8761eac0a68ff71c640e6a197e43414509",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2009-06-05T17:02:47Z",
    "title_canon_sha256": "0ccd540c3f4fa9547bbeea1ccf71714801b3245f4c42d7fd16dda8b5c7cf9974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1168",
    "kind": "arxiv",
    "version": 2
  }
}