Pith Number

pith:6L4PYOQZ

pith:2014:6L4PYOQZHRAWNUFZ7X74CVAOIO

not attested not anchored not stored refs pending

A class of non-analytic functions for the global solvability of Kirchhoff equation

Fumihiko Hirosawa

arxiv:1409.0623 v1 · 2014-09-02 · 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{6L4PYOQZHRAWNUFZ7X74CVAOIO}

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	2026-05-18T02:43:46.479104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2f8fc3a193c4166d0b9fdffc1540e438e892befa8ec5a498ca5a8c67e0051d4

Aliases

arxiv: 1409.0623 · arxiv_version: 1409.0623v1 · doi: 10.48550/arxiv.1409.0623 · pith_short_12: 6L4PYOQZHRAW · pith_short_16: 6L4PYOQZHRAWNUFZ · pith_short_8: 6L4PYOQZ

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/6L4PYOQZHRAWNUFZ7X74CVAOIO \
  | 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: f2f8fc3a193c4166d0b9fdffc1540e438e892befa8ec5a498ca5a8c67e0051d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44b52b362fefc081d4524be626c12c02c8e830dad10dc8618785ff5a02985171",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-02T07:59:02Z",
    "title_canon_sha256": "f187f373ae3c363bf412ad87f84dbbf0aac88c1ed33d3d17178f504e84fa42bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0623",
    "kind": "arxiv",
    "version": 1
  }
}