Pith Number

pith:X3WM7PKB

pith:2017:X3WM7PKBGSBRSZ7SRHNR3GURZ4

not attested not anchored not stored refs pending

On existence of Borel flow for ordinary differential equation with a non-smooth vector field

Nikolay A. Gusev

arxiv:1704.00481 v1 · 2017-04-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3WM7PKBGSBRSZ7SRHNR3GURZ4}

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	2026-05-18T00:04:40.093066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beeccfbd4134831967f289db1d9a91cf2c777c109eaeaaa3e986d8dcc6607fd5

Aliases

arxiv: 1704.00481 · arxiv_version: 1704.00481v1 · doi: 10.48550/arxiv.1704.00481 · pith_short_12: X3WM7PKBGSBR · pith_short_16: X3WM7PKBGSBRSZ7S · pith_short_8: X3WM7PKB

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/X3WM7PKBGSBRSZ7SRHNR3GURZ4 \
  | 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: beeccfbd4134831967f289db1d9a91cf2c777c109eaeaaa3e986d8dcc6607fd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5abe044f5e3abf1776a2861877395756618848802cd0b93d5a15c45395cc9b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-03T09:10:53Z",
    "title_canon_sha256": "798c580b9a812c0e1c860ad2ac98d05ed168f192469718baf27d12b124fd1b12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00481",
    "kind": "arxiv",
    "version": 1
  }
}