Pith Number

pith:33ZX4I3G

pith:2013:33ZX4I3GCJEDFX6TEM2YHU5N4D

not attested not anchored not stored refs pending

Diophantine approximation in Banach spaces

David S. Simmons, Lior Fishman, Mariusz Urba\'nski

arxiv:1302.2275 v5 · 2013-02-09 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33ZX4I3GCJEDFX6TEM2YHU5N4D}

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	2026-05-18T01:19:57.725767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

def37e2366124832dfd3233583d3ade0caf8658716b0413de77367e51ec472ae

Aliases

arxiv: 1302.2275 · arxiv_version: 1302.2275v5 · doi: 10.48550/arxiv.1302.2275 · pith_short_12: 33ZX4I3GCJED · pith_short_16: 33ZX4I3GCJEDFX6T · pith_short_8: 33ZX4I3G

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/33ZX4I3GCJEDFX6TEM2YHU5N4D \
  | 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: def37e2366124832dfd3233583d3ade0caf8658716b0413de77367e51ec472ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a6469deffff00601bd253e38e2891696ae9e19d777ca71309685f57aad100f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-09T22:10:08Z",
    "title_canon_sha256": "c66bf3b7510418ba638560228541ecd5f0026261661cfad3d546a8c21673a760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2275",
    "kind": "arxiv",
    "version": 5
  }
}