Pith Number

pith:BUZCIEFI

pith:2015:BUZCIEFIUR4NU4XSYAL3YJUXCN

not attested not anchored not stored refs pending

Intrinsic Diophantine approximation on manifolds: General theory

David Simmons, Dmitry Kleinbock, Keith Merrill, Lior Fishman

arxiv:1509.05439 v3 · 2015-09-17 · 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{BUZCIEFIUR4NU4XSYAL3YJUXCN}

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	2026-05-18T00:25:27.372270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d322410a8a478da72f2c017bc26971347502f567a8672df610c493edc74c11f

Aliases

arxiv: 1509.05439 · arxiv_version: 1509.05439v3 · doi: 10.48550/arxiv.1509.05439 · pith_short_12: BUZCIEFIUR4N · pith_short_16: BUZCIEFIUR4NU4XS · pith_short_8: BUZCIEFI

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/BUZCIEFIUR4NU4XSYAL3YJUXCN \
  | 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: 0d322410a8a478da72f2c017bc26971347502f567a8672df610c493edc74c11f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef1cf7de1d9efe037553a5d1191c474da491527661f42191f505f1a18e2123e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-17T20:43:55Z",
    "title_canon_sha256": "08d67ebd8ac979528ca166e74a824c5accba55cd3817fe650876ef5e03b0471b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05439",
    "kind": "arxiv",
    "version": 3
  }
}